{
  "schema_version": 1,
  "query": {
    "name": "24_market_collections_final",
    "query_id": "6490d83e-5bce-4ada-ad7a-77c742ecebab",
    "status": "ok",
    "rows": 110,
    "schema": "vertex: int32 not null\ncommunity: int64 not null\ncommunity_size: int64 not null\nrepresentative_rank: uint64 not null\nproduct_id: string_view\nbrand_name: string_view\ncategory: string_view\nleaf_category: string_view\nviewers: int64 not null\npagerank: double not null",
    "sql": "-- Review representative markets from each sufficiently large Leiden community.\n-- Community labels are query-local; PageRank uses directed weighted transitions.\nWITH assignments AS (\n    SELECT\n        r.vertex,\n        r.\"partition\" AS community,\n        COUNT(*) OVER (PARTITION BY r.\"partition\") AS community_size\n    FROM cugraph_leiden(\n        edges => (SELECT src, dst FROM mr_undirected),\n        directed => false,\n        seed => 42\n    ) r\n), weighted_pagerank AS (\n    SELECT vertex, value AS pagerank\n    FROM cugraph_pagerank(\n        edges => (SELECT src, dst, weight FROM mr_edges),\n        directed => true\n    )\n), ranked_markets AS (\n    SELECT\n        a.vertex,\n        a.community,\n        a.community_size,\n        ROW_NUMBER() OVER (\n            PARTITION BY a.community\n            ORDER BY p.pagerank DESC, n.product_id ASC\n        ) AS representative_rank,\n        n.product_id,\n        n.brand_name,\n        n.category,\n        n.leaf_category,\n        n.viewers,\n        p.pagerank\n    FROM assignments a\n    JOIN mr_nodes n ON n.id = a.vertex\n    JOIN weighted_pagerank p ON p.vertex = a.vertex\n)\nSELECT\n    vertex,\n    community,\n    community_size,\n    representative_rank,\n    product_id,\n    brand_name,\n    category,\n    leaf_category,\n    viewers,\n    pagerank\nFROM ranked_markets\nWHERE community_size >= 10\n  AND representative_rank <= 5\nORDER BY community, representative_rank;\n"
  },
  "execution": {
    "elapsed_s": 0.2762586469762027,
    "server_stats_elapsed_ms": 269,
    "observation_count": 1,
    "timing_boundary": "One Flight elapsed observation including planning and complete result receipt; graph preparation excluded. The server was reused after many previous queries.",
    "native_fragment_count": 2,
    "host_datafusion_boundary_count": 15,
    "execution_path": "mixed",
    "host_execution_note": "Leiden and PageRank ran as native GPU fragments; joins, repartitioning, and ranked-window processing used host DataFusion boundaries.",
    "algorithms": [
      {
        "algorithm": "leiden",
        "runtime_outcome": "succeeded",
        "input_boundary": "gpu_resident",
        "output_boundary": "gpu_resident"
      },
      {
        "algorithm": "pagerank",
        "runtime_outcome": "succeeded",
        "input_boundary": "gpu_resident",
        "output_boundary": "gpu_resident"
      }
    ],
    "performance_claim": false
  },
  "cpu_validation": {
    "report": "docs/research/merrec/community_validation.json",
    "status": "assessed",
    "checks": {
      "community_sizes_are_consistent_and_at_least_ten": true,
      "five_representatives_per_returned_community": true,
      "market_metadata_matches_nodes": true,
      "pagerank_matches_saved_full_snapshot": true,
      "representative_rank_matches_pagerank_order": true,
      "representative_vertices_are_known_and_unique": true
    },
    "pagerank_max_absolute_error": 0.0,
    "full_leiden_partition_comparison": "not attempted; query fits Leiden independently and numeric community labels are local",
    "community_coverage_limit": "This output contains only top representatives. It does not expose all assignments, so the set of omitted communities cannot be checked against the separate full fit."
  },
  "source_sha256": {
    "query_sql": "64b9d5da763b9cd1c601d46f5f3ff77c41734b3ff6755432e3f2600809ae60fd",
    "graph_preparation_sql": "f8b16d3b8bfc738971c57d263d4095b3d8a98b13571f647f00a4f9e92414f43d",
    "dataset_manifest": "be245cd411660391b8325065b3c5c530676636ae3c95b5404ab456aed20c976f",
    "graph_validation": "bbca5e5b981dd1759eb85cdfc1ce2d6b72f4a94fe1dd16864d9608d51ccb70a2",
    "result_record": "061803cf9bec7cd19b0db5a408e3129031b185e5d56680b50f666603268a28f5",
    "result_parquet": "c63b2efc4c94098f95ec16f7c3cf09b988692c89fbe2f764ab750d1952157bf0",
    "query_stats": "74967f76dac6445ffc0b66cbb5af40adedf1823b1e770afd0f10ab7716d5cedb",
    "nodes_snapshot": "86e31979837549b54a7722fa810765a611152dbe5a29335b33b9b83fde153f25",
    "directed_edges_snapshot": "c413e3aba5e2713f2ee01ea64227d9aa1f47b7346fc8aaa244e055217b34fbc8",
    "undirected_edges_snapshot": "8702b47db9d5abd2d44d3f591b1a68cd439c4dd7020af879b125799564456b4f",
    "full_pagerank_snapshot": "c097d24a9b11a69cbdad7738874720fb3d333b02f60ce540d2026fad02060e06",
    "cpu_validation": "dae6385a8c64fe846300eaddee1ca5febc391e499fc07c0e8668449ac12bc44a",
    "capture_generator": "ada0fe34d10c5afb168848d4da7a0ea4ac13c4947fc03832883cdb1f5c0f25aa"
  },
  "records": [
    {
      "vertex": 1653,
      "community": 0,
      "community_size": 130,
      "representative_rank": 1,
      "product_id": "8886_1176",
      "brand_name": "Gildan",
      "category": "Men",
      "leaf_category": "T-shirts",
      "viewers": 456,
      "pagerank": 0.006145491207701604
    },
    {
      "vertex": 49,
      "community": 0,
      "community_size": 130,
      "representative_rank": 2,
      "product_id": "0_1176",
      "brand_name": null,
      "category": "Men",
      "leaf_category": "T-shirts",
      "viewers": 392,
      "pagerank": 0.005558227949459245
    },
    {
      "vertex": 1656,
      "community": 0,
      "community_size": 130,
      "representative_rank": 3,
      "product_id": "8886_721",
      "brand_name": "Gildan",
      "category": "Women",
      "leaf_category": "T-shirts",
      "viewers": 267,
      "pagerank": 0.0032015904956775626
    },
    {
      "vertex": 309,
      "community": 0,
      "community_size": 130,
      "representative_rank": 4,
      "product_id": "0_721",
      "brand_name": null,
      "category": "Women",
      "leaf_category": "T-shirts",
      "viewers": 301,
      "pagerank": 0.003147414520936083
    },
    {
      "vertex": 793,
      "community": 0,
      "community_size": 130,
      "representative_rank": 5,
      "product_id": "17474_194",
      "brand_name": "Polo Ralph Lauren",
      "category": "Kids",
      "leaf_category": "Boys (4+)",
      "viewers": 35,
      "pagerank": 0.0017958200509768602
    },
    {
      "vertex": 328,
      "community": 1,
      "community_size": 159,
      "representative_rank": 1,
      "product_id": "0_904",
      "brand_name": null,
      "category": "Home",
      "leaf_category": "Home decor accents",
      "viewers": 402,
      "pagerank": 0.008291764059141523
    },
    {
      "vertex": 69,
      "community": 1,
      "community_size": 159,
      "representative_rank": 2,
      "product_id": "0_1261",
      "brand_name": null,
      "category": "Home",
      "leaf_category": "Christmas",
      "viewers": 245,
      "pagerank": 0.0073534948736580195
    },
    {
      "vertex": 67,
      "community": 1,
      "community_size": 159,
      "representative_rank": 3,
      "product_id": "0_1259",
      "brand_name": null,
      "category": "Home",
      "leaf_category": "Halloween",
      "viewers": 357,
      "pagerank": 0.006956250478102961
    },
    {
      "vertex": 109,
      "community": 1,
      "community_size": 159,
      "representative_rank": 4,
      "product_id": "0_1420",
      "brand_name": null,
      "category": "Vintage & collectibles",
      "leaf_category": "Collectibles",
      "viewers": 241,
      "pagerank": 0.004180828261809935
    },
    {
      "vertex": 386,
      "community": 1,
      "community_size": 159,
      "representative_rank": 5,
      "product_id": "10235_904",
      "brand_name": "Handmade",
      "category": "Home",
      "leaf_category": "Home decor accents",
      "viewers": 199,
      "pagerank": 0.0023397551077301007
    },
    {
      "vertex": 303,
      "community": 2,
      "community_size": 43,
      "representative_rank": 1,
      "product_id": "0_693",
      "brand_name": null,
      "category": "Toys & Collectibles",
      "leaf_category": "Kids Costumes",
      "viewers": 175,
      "pagerank": 0.0024548143915828296
    },
    {
      "vertex": 131,
      "community": 2,
      "community_size": 43,
      "representative_rank": 2,
      "product_id": "0_1717",
      "brand_name": null,
      "category": "Handmade",
      "leaf_category": "Costume",
      "viewers": 144,
      "pagerank": 0.0020474074525998927
    },
    {
      "vertex": 156,
      "community": 2,
      "community_size": 43,
      "representative_rank": 3,
      "product_id": "0_210",
      "brand_name": null,
      "category": "Women",
      "leaf_category": null,
      "viewers": 231,
      "pagerank": 0.00191835757853879
    },
    {
      "vertex": 989,
      "community": 2,
      "community_size": 43,
      "representative_rank": 4,
      "product_id": "22095_1259",
      "brand_name": "Spirit Halloween",
      "category": "Home",
      "leaf_category": "Halloween",
      "viewers": 79,
      "pagerank": 0.0012661676831057956
    },
    {
      "vertex": 1533,
      "community": 2,
      "community_size": 43,
      "representative_rank": 5,
      "product_id": "6146_693",
      "brand_name": "Disney",
      "category": "Toys & Collectibles",
      "leaf_category": "Kids Costumes",
      "viewers": 98,
      "pagerank": 0.0008708342098474219
    },
    {
      "vertex": 512,
      "community": 3,
      "community_size": 66,
      "representative_rank": 1,
      "product_id": "12771_463",
      "brand_name": "Loungefly",
      "category": "Women",
      "leaf_category": "Backpacks",
      "viewers": 168,
      "pagerank": 0.002743324765921229
    },
    {
      "vertex": 908,
      "community": 3,
      "community_size": 66,
      "representative_rank": 2,
      "product_id": "20165_645",
      "brand_name": "Squishmallows",
      "category": "Toys & Collectibles",
      "leaf_category": "Stuffed Animals",
      "viewers": 196,
      "pagerank": 0.002192695906910087
    },
    {
      "vertex": 1529,
      "community": 3,
      "community_size": 66,
      "representative_rank": 3,
      "product_id": "6146_576",
      "brand_name": "Disney",
      "category": "Toys & Collectibles",
      "leaf_category": "Pins",
      "viewers": 73,
      "pagerank": 0.0018667582160920824
    },
    {
      "vertex": 1502,
      "community": 3,
      "community_size": 66,
      "representative_rank": 4,
      "product_id": "6146_1259",
      "brand_name": "Disney",
      "category": "Home",
      "leaf_category": "Halloween",
      "viewers": 124,
      "pagerank": 0.0016289943622904571
    },
    {
      "vertex": 1531,
      "community": 3,
      "community_size": 66,
      "representative_rank": 5,
      "product_id": "6146_645",
      "brand_name": "Disney",
      "category": "Toys & Collectibles",
      "leaf_category": "Stuffed Animals",
      "viewers": 128,
      "pagerank": 0.0013105411553142271
    },
    {
      "vertex": 1580,
      "community": 4,
      "community_size": 117,
      "representative_rank": 1,
      "product_id": "7969_2428",
      "brand_name": "Funko",
      "category": "Toys & Collectibles",
      "leaf_category": "Bobbleheads",
      "viewers": 315,
      "pagerank": 0.008078474797478263
    },
    {
      "vertex": 278,
      "community": 4,
      "community_size": 117,
      "representative_rank": 2,
      "product_id": "0_561",
      "brand_name": null,
      "category": "Toys & Collectibles",
      "leaf_category": "Action Figures",
      "viewers": 395,
      "pagerank": 0.007260108474237557
    },
    {
      "vertex": 1695,
      "community": 4,
      "community_size": 117,
      "representative_rank": 3,
      "product_id": "9814_561",
      "brand_name": "Hasbro",
      "category": "Toys & Collectibles",
      "leaf_category": "Action Figures",
      "viewers": 158,
      "pagerank": 0.004649061317410121
    },
    {
      "vertex": 1588,
      "community": 4,
      "community_size": 117,
      "representative_rank": 4,
      "product_id": "7969_561",
      "brand_name": "Funko",
      "category": "Toys & Collectibles",
      "leaf_category": "Action Figures",
      "viewers": 234,
      "pagerank": 0.004101299100744949
    },
    {
      "vertex": 526,
      "community": 4,
      "community_size": 117,
      "representative_rank": 5,
      "product_id": "12864_2430",
      "brand_name": "LEGO",
      "category": "Toys & Collectibles",
      "leaf_category": "LEGO Toys",
      "viewers": 211,
      "pagerank": 0.003418528631150683
    },
    {
      "vertex": 1411,
      "community": 5,
      "community_size": 86,
      "representative_rank": 1,
      "product_id": "4628_467",
      "brand_name": "Coach",
      "category": "Women",
      "leaf_category": "Shoulder Bags",
      "viewers": 126,
      "pagerank": 0.004335186565105834
    },
    {
      "vertex": 269,
      "community": 5,
      "community_size": 86,
      "representative_rank": 2,
      "product_id": "0_467",
      "brand_name": null,
      "category": "Women",
      "leaf_category": "Shoulder Bags",
      "viewers": 214,
      "pagerank": 0.0034690889906143015
    },
    {
      "vertex": 540,
      "community": 5,
      "community_size": 86,
      "representative_rank": 3,
      "product_id": "12906_467",
      "brand_name": "Louis Vuitton",
      "category": "Women",
      "leaf_category": "Shoulder Bags",
      "viewers": 82,
      "pagerank": 0.002735417704869294
    },
    {
      "vertex": 1410,
      "community": 5,
      "community_size": 86,
      "representative_rank": 4,
      "product_id": "4628_464",
      "brand_name": "Coach",
      "category": "Women",
      "leaf_category": "Crossbody Bags",
      "viewers": 116,
      "pagerank": 0.0024287361625735964
    },
    {
      "vertex": 1484,
      "community": 5,
      "community_size": 86,
      "representative_rank": 5,
      "product_id": "6019_467",
      "brand_name": "Dooney & Bourke",
      "category": "Women",
      "leaf_category": "Shoulder Bags",
      "viewers": 48,
      "pagerank": 0.002243891556350757
    },
    {
      "vertex": 1320,
      "community": 6,
      "community_size": 49,
      "representative_rank": 1,
      "product_id": "3838_585",
      "brand_name": "BTS",
      "category": "Toys & Collectibles",
      "leaf_category": "Paper Collectibles",
      "viewers": 78,
      "pagerank": 0.004107266813111746
    },
    {
      "vertex": 1396,
      "community": 6,
      "community_size": 49,
      "representative_rank": 2,
      "product_id": "4570_2239",
      "brand_name": "Crocs",
      "category": "Women",
      "leaf_category": "Clogs",
      "viewers": 92,
      "pagerank": 0.002700286939130652
    },
    {
      "vertex": 247,
      "community": 6,
      "community_size": 49,
      "representative_rank": 3,
      "product_id": "0_3525",
      "brand_name": null,
      "category": "Toys & Collectibles",
      "leaf_category": "Single Cards",
      "viewers": 159,
      "pagerank": 0.00222891724209964
    },
    {
      "vertex": 1318,
      "community": 6,
      "community_size": 49,
      "representative_rank": 4,
      "product_id": "3838_3525",
      "brand_name": "BTS",
      "category": "Toys & Collectibles",
      "leaf_category": "Single Cards",
      "viewers": 49,
      "pagerank": 0.0017927834745182965
    },
    {
      "vertex": 291,
      "community": 6,
      "community_size": 49,
      "representative_rank": 5,
      "product_id": "0_585",
      "brand_name": null,
      "category": "Toys & Collectibles",
      "leaf_category": "Paper Collectibles",
      "viewers": 65,
      "pagerank": 0.0017440858718676643
    },
    {
      "vertex": 1140,
      "community": 7,
      "community_size": 39,
      "representative_rank": 1,
      "product_id": "2388_2178",
      "brand_name": "Bestseller",
      "category": "Books",
      "leaf_category": "Literary Fiction Books",
      "viewers": 151,
      "pagerank": 0.003748664586823058
    },
    {
      "vertex": 163,
      "community": 7,
      "community_size": 39,
      "representative_rank": 2,
      "product_id": "0_2178",
      "brand_name": null,
      "category": "Books",
      "leaf_category": "Literary Fiction Books",
      "viewers": 150,
      "pagerank": 0.002404621377613244
    },
    {
      "vertex": 75,
      "community": 7,
      "community_size": 39,
      "representative_rank": 3,
      "product_id": "0_1316",
      "brand_name": null,
      "category": "Electronics",
      "leaf_category": "DVD",
      "viewers": 140,
      "pagerank": 0.0010127079510446604
    },
    {
      "vertex": 337,
      "community": 7,
      "community_size": 39,
      "representative_rank": 4,
      "product_id": "0_990",
      "brand_name": null,
      "category": "Electronics",
      "leaf_category": "Blu-ray",
      "viewers": 51,
      "pagerank": 0.0009338320625205789
    },
    {
      "vertex": 1141,
      "community": 7,
      "community_size": 39,
      "representative_rank": 5,
      "product_id": "2388_2179",
      "brand_name": "Bestseller",
      "category": "Books",
      "leaf_category": "Sci-fi & Fantasy Books",
      "viewers": 48,
      "pagerank": 0.000909794112976145
    },
    {
      "vertex": 41,
      "community": 8,
      "community_size": 74,
      "representative_rank": 1,
      "product_id": "0_1160",
      "brand_name": null,
      "category": "Women",
      "leaf_category": "Necklaces",
      "viewers": 202,
      "pagerank": 0.006845951637840944
    },
    {
      "vertex": 857,
      "community": 8,
      "community_size": 74,
      "representative_rank": 2,
      "product_id": "18721_1157",
      "brand_name": "Ring",
      "category": "Women",
      "leaf_category": "Rings",
      "viewers": 110,
      "pagerank": 0.004017859996136867
    },
    {
      "vertex": 38,
      "community": 8,
      "community_size": 74,
      "representative_rank": 3,
      "product_id": "0_1157",
      "brand_name": null,
      "category": "Women",
      "leaf_category": "Rings",
      "viewers": 126,
      "pagerank": 0.0039782100589639685
    },
    {
      "vertex": 39,
      "community": 8,
      "community_size": 74,
      "representative_rank": 4,
      "product_id": "0_1158",
      "brand_name": null,
      "category": "Women",
      "leaf_category": "Earrings",
      "viewers": 143,
      "pagerank": 0.003112254078430001
    },
    {
      "vertex": 350,
      "community": 8,
      "community_size": 74,
      "representative_rank": 5,
      "product_id": "10235_1160",
      "brand_name": "Handmade",
      "category": "Women",
      "leaf_category": "Necklaces",
      "viewers": 108,
      "pagerank": 0.0029568488513618744
    },
    {
      "vertex": 694,
      "community": 9,
      "community_size": 93,
      "representative_rank": 1,
      "product_id": "15987_1224",
      "brand_name": "Nike",
      "category": "Men",
      "leaf_category": "Athletic",
      "viewers": 408,
      "pagerank": 0.009786548472285958
    },
    {
      "vertex": 1357,
      "community": 9,
      "community_size": 93,
      "representative_rank": 2,
      "product_id": "436_1224",
      "brand_name": "Air Jordan",
      "category": "Men",
      "leaf_category": "Athletic",
      "viewers": 171,
      "pagerank": 0.005564463956179158
    },
    {
      "vertex": 685,
      "community": 9,
      "community_size": 93,
      "representative_rank": 3,
      "product_id": "15987_1167",
      "brand_name": "Nike",
      "category": "Women",
      "leaf_category": "Athletic",
      "viewers": 294,
      "pagerank": 0.004265226975941323
    },
    {
      "vertex": 707,
      "community": 9,
      "community_size": 93,
      "representative_rank": 4,
      "product_id": "15987_190",
      "brand_name": "Nike",
      "category": "Kids",
      "leaf_category": "Boys 2T-5T",
      "viewers": 116,
      "pagerank": 0.0030246492539266574
    },
    {
      "vertex": 1360,
      "community": 9,
      "community_size": 93,
      "representative_rank": 5,
      "product_id": "436_191",
      "brand_name": "Air Jordan",
      "category": "Kids",
      "leaf_category": "Boys (4+)",
      "viewers": 89,
      "pagerank": 0.0021985922208709444
    },
    {
      "vertex": 18,
      "community": 10,
      "community_size": 78,
      "representative_rank": 1,
      "product_id": "0_1095",
      "brand_name": null,
      "category": "Women",
      "leaf_category": "Maxi",
      "viewers": 186,
      "pagerank": 0.003914062277995367
    },
    {
      "vertex": 307,
      "community": 10,
      "community_size": 78,
      "representative_rank": 2,
      "product_id": "0_717",
      "brand_name": null,
      "category": "Women",
      "leaf_category": "Above knee, mini",
      "viewers": 235,
      "pagerank": 0.002958855184120367
    },
    {
      "vertex": 20,
      "community": 10,
      "community_size": 78,
      "representative_rank": 3,
      "product_id": "0_1101",
      "brand_name": null,
      "category": "Women",
      "leaf_category": "Blouse",
      "viewers": 211,
      "pagerank": 0.002704152331652107
    },
    {
      "vertex": 306,
      "community": 10,
      "community_size": 78,
      "representative_rank": 4,
      "product_id": "0_716",
      "brand_name": null,
      "category": "Women",
      "leaf_category": "Knee-length",
      "viewers": 163,
      "pagerank": 0.002068321223173718
    },
    {
      "vertex": 249,
      "community": 10,
      "community_size": 78,
      "representative_rank": 5,
      "product_id": "0_354",
      "brand_name": null,
      "category": "Women",
      "leaf_category": "Other",
      "viewers": 67,
      "pagerank": 0.0016917696151979669
    },
    {
      "vertex": 672,
      "community": 11,
      "community_size": 58,
      "representative_rank": 1,
      "product_id": "15928_1315",
      "brand_name": "Nintendo",
      "category": "Electronics",
      "leaf_category": "Games",
      "viewers": 262,
      "pagerank": 0.004765819281455283
    },
    {
      "vertex": 775,
      "community": 11,
      "community_size": 58,
      "representative_rank": 2,
      "product_id": "17470_3525",
      "brand_name": "Pokemon",
      "category": "Toys & Collectibles",
      "leaf_category": "Single Cards",
      "viewers": 135,
      "pagerank": 0.004078202232980076
    },
    {
      "vertex": 956,
      "community": 11,
      "community_size": 58,
      "representative_rank": 3,
      "product_id": "20652_1315",
      "brand_name": "Sony",
      "category": "Electronics",
      "leaf_category": "Games",
      "viewers": 170,
      "pagerank": 0.0031603549811330674
    },
    {
      "vertex": 671,
      "community": 11,
      "community_size": 58,
      "representative_rank": 4,
      "product_id": "15928_1314",
      "brand_name": "Nintendo",
      "category": "Electronics",
      "leaf_category": "Consoles",
      "viewers": 180,
      "pagerank": 0.002296649214946891
    },
    {
      "vertex": 578,
      "community": 11,
      "community_size": 58,
      "representative_rank": 5,
      "product_id": "14034_1315",
      "brand_name": "Microsoft",
      "category": "Electronics",
      "leaf_category": "Games",
      "viewers": 87,
      "pagerank": 0.0016922514855372817
    },
    {
      "vertex": 45,
      "community": 12,
      "community_size": 91,
      "representative_rank": 1,
      "product_id": "0_1170",
      "brand_name": null,
      "category": "Women",
      "leaf_category": "Boots",
      "viewers": 267,
      "pagerank": 0.009571153519131138
    },
    {
      "vertex": 1116,
      "community": 12,
      "community_size": 91,
      "representative_rank": 2,
      "product_id": "23788_1170",
      "brand_name": "UGG Australia",
      "category": "Women",
      "leaf_category": "Boots",
      "viewers": 140,
      "pagerank": 0.002693621358748556
    },
    {
      "vertex": 1121,
      "community": 12,
      "community_size": 91,
      "representative_rank": 3,
      "product_id": "23788_166",
      "brand_name": "UGG Australia",
      "category": "Kids",
      "leaf_category": "Girls 2T-5T",
      "viewers": 75,
      "pagerank": 0.001970541011716869
    },
    {
      "vertex": 1464,
      "community": 12,
      "community_size": 91,
      "representative_rank": 4,
      "product_id": "5617_166",
      "brand_name": "Cat & Jack",
      "category": "Kids",
      "leaf_category": "Girls 2T-5T",
      "viewers": 38,
      "pagerank": 0.0016125768097963735
    },
    {
      "vertex": 1115,
      "community": 12,
      "community_size": 91,
      "representative_rank": 5,
      "product_id": "23788_1169",
      "brand_name": "UGG Australia",
      "category": "Women",
      "leaf_category": "Slippers",
      "viewers": 84,
      "pagerank": 0.0015789786220992688
    },
    {
      "vertex": 79,
      "community": 13,
      "community_size": 91,
      "representative_rank": 1,
      "product_id": "0_1322",
      "brand_name": null,
      "category": "Beauty",
      "leaf_category": "Women",
      "viewers": 122,
      "pagerank": 0.004559197053353786
    },
    {
      "vertex": 970,
      "community": 13,
      "community_size": 91,
      "representative_rank": 2,
      "product_id": "20707_2765",
      "brand_name": "Starbucks",
      "category": "Home",
      "leaf_category": "Tumblers",
      "viewers": 98,
      "pagerank": 0.0020709712420274662
    },
    {
      "vertex": 85,
      "community": 13,
      "community_size": 91,
      "representative_rank": 3,
      "product_id": "0_1334",
      "brand_name": null,
      "category": "Beauty",
      "leaf_category": "Face",
      "viewers": 120,
      "pagerank": 0.0020230143617610934
    },
    {
      "vertex": 1257,
      "community": 13,
      "community_size": 91,
      "representative_rank": 4,
      "product_id": "2693_1339",
      "brand_name": "Bath & Body Works",
      "category": "Beauty",
      "leaf_category": "Body",
      "viewers": 82,
      "pagerank": 0.0019520984165744084
    },
    {
      "vertex": 738,
      "community": 13,
      "community_size": 91,
      "representative_rank": 5,
      "product_id": "16356_1322",
      "brand_name": "Niche",
      "category": "Beauty",
      "leaf_category": "Women",
      "viewers": 49,
      "pagerank": 0.0019034520195027296
    },
    {
      "vertex": 1170,
      "community": 14,
      "community_size": 40,
      "representative_rank": 1,
      "product_id": "24159_1174",
      "brand_name": "Victoria's Secret",
      "category": "Women",
      "leaf_category": "Bras",
      "viewers": 115,
      "pagerank": 0.0026218184977101705
    },
    {
      "vertex": 820,
      "community": 14,
      "community_size": 40,
      "representative_rank": 2,
      "product_id": "17626_721",
      "brand_name": "PINK",
      "category": "Women",
      "leaf_category": "T-shirts",
      "viewers": 41,
      "pagerank": 0.001987348647707819
    },
    {
      "vertex": 807,
      "community": 14,
      "community_size": 40,
      "representative_rank": 3,
      "product_id": "17626_1112",
      "brand_name": "PINK",
      "category": "Women",
      "leaf_category": "Hooded",
      "viewers": 45,
      "pagerank": 0.001671969318696388
    },
    {
      "vertex": 816,
      "community": 14,
      "community_size": 40,
      "representative_rank": 4,
      "product_id": "17626_2211",
      "brand_name": "PINK",
      "category": "Women",
      "leaf_category": "Athletic Tights",
      "viewers": 31,
      "pagerank": 0.00163821065346736
    },
    {
      "vertex": 1169,
      "community": 14,
      "community_size": 40,
      "representative_rank": 5,
      "product_id": "24159_1173",
      "brand_name": "Victoria's Secret",
      "category": "Women",
      "leaf_category": "Panties",
      "viewers": 41,
      "pagerank": 0.001513858709142473
    },
    {
      "vertex": 1444,
      "community": 15,
      "community_size": 81,
      "representative_rank": 1,
      "product_id": "4815_163",
      "brand_name": "Carter's",
      "category": "Kids",
      "leaf_category": "Girls 0-24 mos",
      "viewers": 69,
      "pagerank": 0.0016628722604985103
    },
    {
      "vertex": 143,
      "community": 15,
      "community_size": 81,
      "representative_rank": 2,
      "product_id": "0_186",
      "brand_name": null,
      "category": "Kids",
      "leaf_category": "Boys 0-24 mos",
      "viewers": 83,
      "pagerank": 0.0016194295268762017
    },
    {
      "vertex": 124,
      "community": 15,
      "community_size": 81,
      "representative_rank": 3,
      "product_id": "0_163",
      "brand_name": null,
      "category": "Kids",
      "leaf_category": "Girls 0-24 mos",
      "viewers": 80,
      "pagerank": 0.0015213437020850091
    },
    {
      "vertex": 504,
      "community": 15,
      "community_size": 81,
      "representative_rank": 4,
      "product_id": "12668_163",
      "brand_name": "little sleepies",
      "category": "Kids",
      "leaf_category": "Girls 0-24 mos",
      "viewers": 34,
      "pagerank": 0.0014731783472459491
    },
    {
      "vertex": 1288,
      "community": 15,
      "community_size": 81,
      "representative_rank": 5,
      "product_id": "3373_163",
      "brand_name": "Boutique",
      "category": "Kids",
      "leaf_category": "Girls 0-24 mos",
      "viewers": 44,
      "pagerank": 0.0014199117920349062
    },
    {
      "vertex": 1064,
      "community": 16,
      "community_size": 57,
      "representative_rank": 1,
      "product_id": "22635_2990",
      "brand_name": "Topps",
      "category": "Toys & Collectibles",
      "leaf_category": "Baseball Trading Cards",
      "viewers": 57,
      "pagerank": 0.003014744980772502
    },
    {
      "vertex": 692,
      "community": 16,
      "community_size": 57,
      "representative_rank": 2,
      "product_id": "15987_1213",
      "brand_name": "Nike",
      "category": "Men",
      "leaf_category": "Jerseys",
      "viewers": 93,
      "pagerank": 0.0024977392756202507
    },
    {
      "vertex": 829,
      "community": 16,
      "community_size": 57,
      "representative_rank": 3,
      "product_id": "18406_2992",
      "brand_name": "Panini",
      "category": "Toys & Collectibles",
      "leaf_category": "Football Trading Cards",
      "viewers": 63,
      "pagerank": 0.0023774673810141376
    },
    {
      "vertex": 654,
      "community": 16,
      "community_size": 57,
      "representative_rank": 4,
      "product_id": "15825_1218",
      "brand_name": "New Era",
      "category": "Men",
      "leaf_category": "Hats",
      "viewers": 72,
      "pagerank": 0.0018162621731847815
    },
    {
      "vertex": 1063,
      "community": 16,
      "community_size": 57,
      "representative_rank": 5,
      "product_id": "22635_2988",
      "brand_name": "Topps",
      "category": "Toys & Collectibles",
      "leaf_category": "Other Sports Trading Cards",
      "viewers": 53,
      "pagerank": 0.001726900789103246
    },
    {
      "vertex": 644,
      "community": 17,
      "community_size": 36,
      "representative_rank": 1,
      "product_id": "15568_568",
      "brand_name": "Mattel",
      "category": "Toys & Collectibles",
      "leaf_category": "Fashion Dolls",
      "viewers": 120,
      "pagerank": 0.0033737552289898934
    },
    {
      "vertex": 565,
      "community": 17,
      "community_size": 36,
      "representative_rank": 2,
      "product_id": "13797_568",
      "brand_name": "monster high",
      "category": "Toys & Collectibles",
      "leaf_category": "Fashion Dolls",
      "viewers": 66,
      "pagerank": 0.003027163876300661
    },
    {
      "vertex": 1241,
      "community": 17,
      "community_size": 36,
      "representative_rank": 3,
      "product_id": "2595_568",
      "brand_name": "Barbie",
      "category": "Toys & Collectibles",
      "leaf_category": "Fashion Dolls",
      "viewers": 90,
      "pagerank": 0.002917047535760913
    },
    {
      "vertex": 590,
      "community": 17,
      "community_size": 36,
      "representative_rank": 4,
      "product_id": "14071_568",
      "brand_name": "MGA Entertainment",
      "category": "Toys & Collectibles",
      "leaf_category": "Fashion Dolls",
      "viewers": 43,
      "pagerank": 0.0022310425717728772
    },
    {
      "vertex": 1305,
      "community": 17,
      "community_size": 36,
      "representative_rank": 5,
      "product_id": "3541_568",
      "brand_name": "Bratz",
      "category": "Toys & Collectibles",
      "leaf_category": "Fashion Dolls",
      "viewers": 35,
      "pagerank": 0.0015901041620722668
    },
    {
      "vertex": 491,
      "community": 18,
      "community_size": 33,
      "representative_rank": 1,
      "product_id": "12630_2215",
      "brand_name": "lululemon athletica",
      "category": "Women",
      "leaf_category": "Athletic Leggings",
      "viewers": 122,
      "pagerank": 0.002618981917519368
    },
    {
      "vertex": 1625,
      "community": 18,
      "community_size": 33,
      "representative_rank": 2,
      "product_id": "8443_1064",
      "brand_name": "FIG Clothing",
      "category": "Other",
      "leaf_category": "Health care",
      "viewers": 44,
      "pagerank": 0.0016705932373204222
    },
    {
      "vertex": 480,
      "community": 18,
      "community_size": 33,
      "representative_rank": 3,
      "product_id": "12630_1146",
      "brand_name": "lululemon athletica",
      "category": "Women",
      "leaf_category": "Jackets",
      "viewers": 71,
      "pagerank": 0.001658089236009455
    },
    {
      "vertex": 493,
      "community": 18,
      "community_size": 33,
      "representative_rank": 4,
      "product_id": "12630_2224",
      "brand_name": "lululemon athletica",
      "category": "Women",
      "leaf_category": "Athletic T-Shirts",
      "viewers": 54,
      "pagerank": 0.00137170491424733
    },
    {
      "vertex": 487,
      "community": 18,
      "community_size": 33,
      "representative_rank": 5,
      "product_id": "12630_2207",
      "brand_name": "lululemon athletica",
      "category": "Women",
      "leaf_category": "Athletic Pants",
      "viewers": 53,
      "pagerank": 0.0013052770983422778
    },
    {
      "vertex": 1610,
      "community": 19,
      "community_size": 44,
      "representative_rank": 1,
      "product_id": "802_973",
      "brand_name": "Apple",
      "category": "Electronics",
      "leaf_category": "Cell phones & smartphones",
      "viewers": 100,
      "pagerank": 0.0028321011305298812
    },
    {
      "vertex": 191,
      "community": 19,
      "community_size": 44,
      "representative_rank": 2,
      "product_id": "0_2402",
      "brand_name": null,
      "category": "Electronics",
      "leaf_category": "Cell Phone Cases",
      "viewers": 132,
      "pagerank": 0.0027209288485430345
    },
    {
      "vertex": 1598,
      "community": 19,
      "community_size": 44,
      "representative_rank": 3,
      "product_id": "802_2402",
      "brand_name": "Apple",
      "category": "Electronics",
      "leaf_category": "Cell Phone Cases",
      "viewers": 72,
      "pagerank": 0.0020329544961008327
    },
    {
      "vertex": 1609,
      "community": 19,
      "community_size": 44,
      "representative_rank": 4,
      "product_id": "802_884",
      "brand_name": "Apple",
      "category": "Electronics",
      "leaf_category": "iPad/tablet/ebook readers",
      "viewers": 64,
      "pagerank": 0.0017874641049751246
    },
    {
      "vertex": 1603,
      "community": 19,
      "community_size": 44,
      "representative_rank": 5,
      "product_id": "802_332",
      "brand_name": "Apple",
      "category": "Electronics",
      "leaf_category": "Computer Accessories",
      "viewers": 30,
      "pagerank": 0.0015732603644428018
    },
    {
      "vertex": 848,
      "community": 20,
      "community_size": 38,
      "representative_rank": 1,
      "product_id": "18474_742",
      "brand_name": "Patagonia",
      "category": "Women",
      "leaf_category": "Fleece jacket",
      "viewers": 53,
      "pagerank": 0.0017997115185362559
    },
    {
      "vertex": 842,
      "community": 20,
      "community_size": 38,
      "representative_rank": 2,
      "product_id": "18474_156",
      "brand_name": "Patagonia",
      "category": "Kids",
      "leaf_category": "Girls 2T-5T",
      "viewers": 27,
      "pagerank": 0.0016090948040094813
    },
    {
      "vertex": 1027,
      "community": 20,
      "community_size": 38,
      "representative_rank": 3,
      "product_id": "22561_1146",
      "brand_name": "The North Face",
      "category": "Women",
      "leaf_category": "Jackets",
      "viewers": 69,
      "pagerank": 0.0015486098806862417
    },
    {
      "vertex": 1045,
      "community": 20,
      "community_size": 38,
      "representative_rank": 4,
      "product_id": "22561_742",
      "brand_name": "The North Face",
      "category": "Women",
      "leaf_category": "Fleece jacket",
      "viewers": 67,
      "pagerank": 0.0015199531126697332
    },
    {
      "vertex": 844,
      "community": 20,
      "community_size": 38,
      "representative_rank": 5,
      "product_id": "18474_158",
      "brand_name": "Patagonia",
      "category": "Kids",
      "leaf_category": "Girls 0-24 mos",
      "viewers": 26,
      "pagerank": 0.0012007470906908629
    },
    {
      "vertex": 1708,
      "community": 21,
      "community_size": 14,
      "representative_rank": 1,
      "product_id": "9877_706",
      "brand_name": "Hot Wheels",
      "category": "Toys & Collectibles",
      "leaf_category": "Cars",
      "viewers": 65,
      "pagerank": 0.00213855574779364
    },
    {
      "vertex": 1707,
      "community": 21,
      "community_size": 14,
      "representative_rank": 2,
      "product_id": "9877_640",
      "brand_name": "Hot Wheels",
      "category": "Toys & Collectibles",
      "leaf_category": "Play Vehicles",
      "viewers": 51,
      "pagerank": 0.0012035768009248464
    },
    {
      "vertex": 1706,
      "community": 21,
      "community_size": 14,
      "representative_rank": 3,
      "product_id": "9877_586",
      "brand_name": "Hot Wheels",
      "category": "Toys & Collectibles",
      "leaf_category": "Model Vehicles",
      "viewers": 32,
      "pagerank": 0.0009113366179647985
    },
    {
      "vertex": 305,
      "community": 21,
      "community_size": 14,
      "representative_rank": 4,
      "product_id": "0_706",
      "brand_name": null,
      "category": "Toys & Collectibles",
      "leaf_category": "Cars",
      "viewers": 50,
      "pagerank": 0.00070449739566581
    },
    {
      "vertex": 575,
      "community": 21,
      "community_size": 14,
      "representative_rank": 5,
      "product_id": "14029_706",
      "brand_name": "Maisto",
      "category": "Toys & Collectibles",
      "leaf_category": "Cars",
      "viewers": 13,
      "pagerank": 0.0003328656814252428
    }
  ]
}