PubMed Co-Citation
Overview
The PubMed co-citation network is a hypergraph where nodes are scientific papers from the PubMed database and hyperedges are sets of papers that are co-cited together by another paper. Each node is labeled with the paper’s research topic, chosen from three diabetes-related categories: Diabetes Mellitus Experimental, Diabetes Mellitus Type 1, and Diabetes Mellitus Type 2. This dataset is commonly used as a benchmark in hypergraph learning tasks, particularly for biomedical document classification.
Statistics
Interpretation
In the simplicial-complex interpretation, each co-citation set generates a simplex together with all of its subsets. The shape below is the full f-vector of that closure, with isolated papers retained as 0-simplices.
Nodes
19,717
Node Type
Scientific Paper
Node Label
Research Topic
Active Vertices
3,840
Papers appearing in at least one co-citation set.
Maximal Simplices
5,440
Max Dimension
170
Node Label Distribution
3 unique labels · imbalance degree: 0.33
| Dimension | Simplex Type | Count |
|---|---|---|
| 0 | Vertices | 19,717 |
| 1 | Edges | 123,827 |
| 2 | Triangles | 2,689,329 |
| 3 | Tetrahedra | 76,449,719 |
| 4 | 4-Simplices | 2,136,805,049 |
| 5 | 5-Simplices | 53,388,609,952 |
| 6 | 6-Simplices | 1,173,429,623,602 |
| 7 | 7-Simplices | 22,792,793,665,660 |
| 8 | 8-Simplices | 394,868,473,045,510 |
| 9 | 9-Simplices | 6,158,570,045,267,073 |
| 10 | 10-Simplices | 87,202,264,161,166,510 |
| 11 | 11-Simplices | 1,129,175,551,518,041,900 |
| 12 | 12-Simplices | 13,455,743,467,503,364,000 |
| 13 | 13-Simplices | 148,361,742,062,485,500,000 |
| 14 | 14-Simplices | 1,520,728,933,076,617,000,000 |
| 15 | 15-Simplices | 14,550,911,747,986,000,000,000 |
| 16 | 16-Simplices | 130,442,109,870,182,260,000,000 |
| 17 | 17-Simplices | 1,099,100,108,585,619,300,000,000 |
| 18 | 18-Simplices | 8,729,721,676,811,479,000,000,000 |
| 19 | 19-Simplices | 65,528,547,646,782,854,000,000,000 |
| 20 | 20-Simplices | 465,951,250,082,996,400,000,000,000 |
| 21 | 21-Simplices | 3,145,194,206,105,636,300,000,000,000 |
| 22 | 22-Simplices | 20,192,293,918,518,795,000,000,000,000 |
| 23 | 23-Simplices | 123,514,108,696,706,460,000,000,000,000 |
| 24 | 24-Simplices | 721,004,339,029,937,300,000,000,000,000 |
| 25 | 25-Simplices | 4,022,452,576,732,238,700,000,000,000,000 |
| 26 | 26-Simplices | 21,476,679,243,987,534,000,000,000,000,000 |
| 27 | 27-Simplices | 109,878,673,358,045,250,000,000,000,000,000 |
| 28 | 28-Simplices | 539,308,105,264,175,400,000,000,000,000,000 |
| 29 | 29-Simplices | 2,542,197,375,003,856,800,000,000,000,000,000 |
| 30 | 30-Simplices | 11,520,457,943,618,070,000,000,000,000,000,000 |
| 31 | 31-Simplices | 50,237,578,971,635,090,000,000,000,000,000,000 |
| 32 | 32-Simplices | 210,993,997,880,882,130,000,000,000,000,000,000 |
| 33 | 33-Simplices | 854,188,837,151,042,400,000,000,000,000,000,000 |
| 34 | 34-Simplices | 3,335,938,938,362,397,000,000,000,000,000,000,000 |
| 35 | 35-Simplices | 12,577,103,195,784,230,000,000,000,000,000,000,000 |
| 36 | 36-Simplices | 45,807,957,829,280,730,000,000,000,000,000,000,000 |
| 37 | 37-Simplices | 161,280,337,339,932,500,000,000,000,000,000,000,000 |
| 38 | 38-Simplices | 549,248,355,763,766,550,000,000,000,000,000,000,000 |
| 39 | 39-Simplices | 1,810,318,653,282,963,000,000,000,000,000,000,000,000 |
| 40 | 40-Simplices | 5,778,015,613,356,698,000,000,000,000,000,000,000,000 |
| 41 | 41-Simplices | 17,867,578,180,333,456,000,000,000,000,000,000,000,000 |
| 42 | 42-Simplices | 53,558,701,911,568,480,000,000,000,000,000,000,000,000 |
| 43 | 43-Simplices | 155,695,050,162,248,170,000,000,000,000,000,000,000,000 |
| 44 | 44-Simplices | 439,129,560,536,338,740,000,000,000,000,000,000,000,000 |
| 45 | 45-Simplices | 1,202,172,021,470,339,900,000,000,000,000,000,000,000,000 |
| 46 | 46-Simplices | 3,195,732,774,564,868,000,000,000,000,000,000,000,000,000 |
| 47 | 47-Simplices | 8,252,193,213,820,222,000,000,000,000,000,000,000,000,000 |
| 48 | 48-Simplices | 20,707,155,883,368,275,000,000,000,000,000,000,000,000,000 |
| 49 | 49-Simplices | 50,509,489,968,351,730,000,000,000,000,000,000,000,000,000 |
| 50 | 50-Simplices | 119,803,360,705,430,970,000,000,000,000,000,000,000,000,000 |
| 51 | 51-Simplices | 276,403,533,547,867,460,000,000,000,000,000,000,000,000,000 |
| 52 | 52-Simplices | 620,476,361,756,587,840,000,000,000,000,000,000,000,000,000 |
| 53 | 53-Simplices | 1,355,614,356,371,693,600,000,000,000,000,000,000,000,000,000 |
| 54 | 54-Simplices | 2,883,318,156,184,162,300,000,000,000,000,000,000,000,000,000 |
| 55 | 55-Simplices | 5,971,796,014,938,747,000,000,000,000,000,000,000,000,000,000 |
| 56 | 56-Simplices | 12,046,985,506,741,166,000,000,000,000,000,000,000,000,000,000 |
| 57 | 57-Simplices | 23,676,234,656,754,130,000,000,000,000,000,000,000,000,000,000 |
| 58 | 58-Simplices | 45,342,189,475,705,970,000,000,000,000,000,000,000,000,000,000 |
| 59 | 59-Simplices | 84,632,642,850,155,850,000,000,000,000,000,000,000,000,000,000 |
| 60 | 60-Simplices | 153,994,144,701,251,260,000,000,000,000,000,000,000,000,000,000 |
| 61 | 61-Simplices | 273,200,989,202,541,470,000,000,000,000,000,000,000,000,000,000 |
| 62 | 62-Simplices | 472,659,776,876,342,500,000,000,000,000,000,000,000,000,000,000 |
| 63 | 63-Simplices | 797,582,755,188,240,800,000,000,000,000,000,000,000,000,000,000 |
| 64 | 64-Simplices | 1,312,901,054,472,316,700,000,000,000,000,000,000,000,000,000,000 |
| 65 | 65-Simplices | 2,108,540,210,143,283,000,000,000,000,000,000,000,000,000,000,000 |
| 66 | 66-Simplices | 3,304,351,040,882,603,000,000,000,000,000,000,000,000,000,000,000 |
| 67 | 67-Simplices | 5,053,612,872,737,042,400,000,000,000,000,000,000,000,000,000,000 |
| 68 | 68-Simplices | 7,543,672,228,869,750,000,000,000,000,000,000,000,000,000,000,000 |
| 69 | 69-Simplices | 10,992,052,448,487,315,000,000,000,000,000,000,000,000,000,000,000 |
| 70 | 70-Simplices | 15,636,395,302,817,737,000,000,000,000,000,000,000,000,000,000,000 |
| 71 | 71-Simplices | 21,716,998,290,892,914,000,000,000,000,000,000,000,000,000,000,000 |
| 72 | 72-Simplices | 29,451,572,410,668,480,000,000,000,000,000,000,000,000,000,000,000 |
| 73 | 73-Simplices | 39,003,159,820,569,270,000,000,000,000,000,000,000,000,000,000,000 |
| 74 | 74-Simplices | 50,443,790,875,793,150,000,000,000,000,000,000,000,000,000,000,000 |
| 75 | 75-Simplices | 63,718,161,289,974,060,000,000,000,000,000,000,000,000,000,000,000 |
| 76 | 76-Simplices | 78,612,996,393,814,370,000,000,000,000,000,000,000,000,000,000,000 |
| 77 | 77-Simplices | 94,738,419,760,401,220,000,000,000,000,000,000,000,000,000,000,000 |
| 78 | 78-Simplices | 111,527,195,411,309,900,000,000,000,000,000,000,000,000,000,000,000 |
| 79 | 79-Simplices | 128,255,978,897,529,980,000,000,000,000,000,000,000,000,000,000,000 |
| 80 | 80-Simplices | 144,089,776,453,882,660,000,000,000,000,000,000,000,000,000,000,000 |
| 81 | 81-Simplices | 158,147,068,430,805,550,000,000,000,000,000,000,000,000,000,000,000 |
| 82 | 82-Simplices | 169,579,169,223,157,760,000,000,000,000,000,000,000,000,000,000,000 |
| 83 | 83-Simplices | 177,654,181,408,338,090,000,000,000,000,000,000,000,000,000,000,000 |
| 84 | 84-Simplices | 181,834,124,137,979,480,000,000,000,000,000,000,000,000,000,000,000 |
| 85 | 85-Simplices | 181,833,997,440,879,460,000,000,000,000,000,000,000,000,000,000,000 |
| 86 | 86-Simplices | 177,653,805,061,779,920,000,000,000,000,000,000,000,000,000,000,000 |
| 87 | 87-Simplices | 169,578,554,457,770,960,000,000,000,000,000,000,000,000,000,000,000 |
| 88 | 88-Simplices | 158,146,233,906,394,170,000,000,000,000,000,000,000,000,000,000,000 |
| 89 | 89-Simplices | 144,088,748,026,885,750,000,000,000,000,000,000,000,000,000,000,000 |
| 90 | 90-Simplices | 128,254,789,053,992,400,000,000,000,000,000,000,000,000,000,000,000 |
| 91 | 91-Simplices | 111,525,882,225,530,410,000,000,000,000,000,000,000,000,000,000,000 |
| 92 | 92-Simplices | 94,737,025,311,150,960,000,000,000,000,000,000,000,000,000,000,000 |
| 93 | 93-Simplices | 78,611,564,677,480,860,000,000,000,000,000,000,000,000,000,000,000 |
| 94 | 94-Simplices | 63,716,735,785,646,740,000,000,000,000,000,000,000,000,000,000,000 |
| 95 | 95-Simplices | 50,442,412,011,030,070,000,000,000,000,000,000,000,000,000,000,000 |
| 96 | 96-Simplices | 39,001,862,633,918,700,000,000,000,000,000,000,000,000,000,000,000 |
| 97 | 97-Simplices | 29,450,384,695,635,827,000,000,000,000,000,000,000,000,000,000,000 |
| 98 | 98-Simplices | 21,715,939,438,521,064,000,000,000,000,000,000,000,000,000,000,000 |
| 99 | 99-Simplices | 15,635,475,952,442,392,000,000,000,000,000,000,000,000,000,000,000 |
| 100 | 100-Simplices | 10,991,274,933,092,149,000,000,000,000,000,000,000,000,000,000,000 |
| 101 | 101-Simplices | 7,543,031,689,029,505,000,000,000,000,000,000,000,000,000,000,000 |
| 102 | 102-Simplices | 5,053,098,832,715,712,600,000,000,000,000,000,000,000,000,000,000 |
| 103 | 103-Simplices | 3,303,949,203,895,476,600,000,000,000,000,000,000,000,000,000,000 |
| 104 | 104-Simplices | 2,108,234,237,943,882,800,000,000,000,000,000,000,000,000,000,000 |
| 105 | 105-Simplices | 1,312,674,140,620,543,200,000,000,000,000,000,000,000,000,000,000 |
| 106 | 106-Simplices | 797,418,867,020,642,400,000,000,000,000,000,000,000,000,000,000 |
| 107 | 107-Simplices | 472,544,512,256,774,300,000,000,000,000,000,000,000,000,000,000 |
| 108 | 108-Simplices | 273,122,056,881,786,150,000,000,000,000,000,000,000,000,000,000 |
| 109 | 109-Simplices | 153,941,522,693,265,600,000,000,000,000,000,000,000,000,000,000 |
| 110 | 110-Simplices | 84,598,494,340,974,080,000,000,000,000,000,000,000,000,000,000 |
| 111 | 111-Simplices | 45,320,621,924,346,840,000,000,000,000,000,000,000,000,000,000 |
| 112 | 112-Simplices | 23,662,979,572,062,675,000,000,000,000,000,000,000,000,000,000 |
| 113 | 113-Simplices | 12,039,059,776,104,390,000,000,000,000,000,000,000,000,000,000 |
| 114 | 114-Simplices | 5,967,186,147,694,370,000,000,000,000,000,000,000,000,000,000 |
| 115 | 115-Simplices | 2,880,710,553,300,437,600,000,000,000,000,000,000,000,000,000 |
| 116 | 116-Simplices | 1,354,180,174,375,439,700,000,000,000,000,000,000,000,000,000 |
| 117 | 117-Simplices | 619,709,571,242,888,500,000,000,000,000,000,000,000,000,000 |
| 118 | 118-Simplices | 276,005,103,133,267,860,000,000,000,000,000,000,000,000,000 |
| 119 | 119-Simplices | 119,602,211,350,150,540,000,000,000,000,000,000,000,000,000 |
| 120 | 120-Simplices | 50,410,849,409,848,900,000,000,000,000,000,000,000,000,000 |
| 121 | 121-Simplices | 20,660,184,183,751,745,000,000,000,000,000,000,000,000,000 |
| 122 | 122-Simplices | 8,230,479,877,915,618,000,000,000,000,000,000,000,000,000 |
| 123 | 123-Simplices | 3,185,992,210,763,634,000,000,000,000,000,000,000,000,000 |
| 124 | 124-Simplices | 1,197,933,071,236,608,000,000,000,000,000,000,000,000,000 |
| 125 | 125-Simplices | 437,340,645,052,130,360,000,000,000,000,000,000,000,000 |
| 126 | 126-Simplices | 154,963,220,687,190,880,000,000,000,000,000,000,000,000 |
| 127 | 127-Simplices | 53,268,607,111,096,770,000,000,000,000,000,000,000,000 |
| 128 | 128-Simplices | 17,756,202,370,339,409,000,000,000,000,000,000,000,000 |
| 129 | 129-Simplices | 5,736,619,227,335,188,000,000,000,000,000,000,000,000 |
| 130 | 130-Simplices | 1,795,430,445,195,509,800,000,000,000,000,000,000,000 |
| 131 | 131-Simplices | 544,069,831,877,245,540,000,000,000,000,000,000,000 |
| 132 | 132-Simplices | 159,539,274,009,085,690,000,000,000,000,000,000,000 |
| 133 | 133-Simplices | 45,242,480,689,138,550,000,000,000,000,000,000,000 |
| 134 | 134-Simplices | 12,399,791,003,689,020,000,000,000,000,000,000,000 |
| 135 | 135-Simplices | 3,282,297,618,623,446,000,000,000,000,000,000,000 |
| 136 | 136-Simplices | 838,543,187,239,550,300,000,000,000,000,000,000 |
| 137 | 137-Simplices | 206,597,596,856,118,930,000,000,000,000,000,000 |
| 138 | 138-Simplices | 49,048,350,332,747,395,000,000,000,000,000,000 |
| 139 | 139-Simplices | 11,211,051,504,627,946,000,000,000,000,000,000 |
| 140 | 140-Simplices | 2,464,841,110,946,566,700,000,000,000,000,000 |
| 141 | 141-Simplices | 520,741,079,777,443,400,000,000,000,000,000 |
| 142 | 142-Simplices | 105,604,834,360,460,520,000,000,000,000,000 |
| 143 | 143-Simplices | 20,534,273,347,867,320,000,000,000,000,000 |
| 144 | 144-Simplices | 3,823,623,313,051,156,000,000,000,000,000 |
| 145 | 145-Simplices | 680,919,220,132,397,600,000,000,000,000 |
| 146 | 146-Simplices | 115,802,588,457,890,760,000,000,000,000 |
| 147 | 147-Simplices | 18,778,798,128,306,609,000,000,000,000 |
| 148 | 148-Simplices | 2,898,740,650,678,201,000,000,000,000 |
| 149 | 149-Simplices | 425,148,628,766,136,200,000,000,000 |
| 150 | 150-Simplices | 59,126,630,490,654,700,000,000,000 |
| 151 | 151-Simplices | 7,779,819,801,401,934,000,000,000 |
| 152 | 152-Simplices | 966,121,413,245,991,800,000,000 |
| 153 | 153-Simplices | 112,923,282,067,713,330,000,000 |
| 154 | 154-Simplices | 12,385,134,162,265,334,000,000 |
| 155 | 155-Simplices | 1,270,270,170,488,752,000,000 |
| 156 | 156-Simplices | 121,363,392,084,912,620,000 |
| 157 | 157-Simplices | 10,753,718,286,004,916,000 |
| 158 | 158-Simplices | 879,234,828,415,496,300 |
| 159 | 159-Simplices | 65,942,612,131,162,220 |
| 160 | 160-Simplices | 4,505,395,859,893,071 |
| 161 | 161-Simplices | 278,110,855,548,955 |
| 162 | 162-Simplices | 15,355,814,110,065 |
| 163 | 163-Simplices | 749,064,102,930 |
| 164 | 164-Simplices | 31,778,477,094 |
| 165 | 165-Simplices | 1,148,619,654 |
| 166 | 166-Simplices | 34,389,810 |
| 167 | 167-Simplices | 818,805 |
| 168 | 168-Simplices | 14,535 |
| 169 | 169-Simplices | 171 |
| 170 | 170-Simplices | 1 |
| Total Simplices | 2,993,178,189,216,774,000,000,000,000,000,000,000,000,000,000,000,000 | |
Nodes
Nodes
19,717
Node Type
Scientific Paper
Node Label
Research Topic
Node Degree
Min1
Q14
Median7
Q312
Max99
Node Label Distribution
3 unique labels · imbalance degree: 0.33
Hyperedges
Hyperedges
7,963
Hyperedge Type
Co-Citation Set
Hyperedge Degree
Min2
Q12
Median3
Q34
Max171