KONECT
KONECT > Statistics > Size

## Size

The size of a network is the number of nodes it contains, and is almost universally denoted $$n$$. The size of a graph is sometimes also called the order of the graph. \begin{align} n &= |V| \end{align} In a bipartite graph, the size can be decomposed as $$n = n_1 + n_2$$ with $$n_1 = |V_1|$$ and $$n_2=|V_2|$$. The size of a network is not necessarily a very meaningful number. For instance, adding a node without edges to a network will increase the size of the network, but will not change anything in the network. In the case of an online social network, this would correspond to creating a user account and not connecting it to any other users – this adds an inactive user, which are often not taken into account. Therefore, a more representative measure of the size of a network is actually given by the number of edges, giving the volume of a network.

 Code Name Category F. W. M. $$n$$ $$m$$ Sw Southern women 2 ⬤ Interaction 15 14 MR Rhesus ⬤ Animal 16 111 HT Highland tribes ⬤ HumanSocial 16 58 SC South African Companies ⬤ Affiliation 17 13 MK Kangaroo ⬤ Animal 17 91 Ms Sampson ⬤ HumanSocial 18 189 MT Taro exchange ⬤ HumanSocial 22 78 MB Bison ⬤ Animal 26 314 MZ Zebra ⬤ Animal 27 111 MA Cattle ⬤ Animal 28 217 Mc Sheep ⬤ Animal 28 250 MX Seventh graders ⬤ HumanSocial 29 376 Mh Hens ⬤ Animal 32 496 Mv Dutch college ⬤ HumanSocial 32 3,062 ZA Zachary karate club ⬤ HumanSocial 34 78 MW Windsurfers ⬤ HumanContact 43 336 CU Contiguous USA ⬤ Infrastructure 49 107 SW Southern women 1 ⬤ Interaction 50 89 DO Dolphins ⬤ Animal 62 159 MQ Macaques ⬤ Animal 62 1,187 BC Corporate Leadership ⬤ Affiliation 64 99 Mt Train bombing ⬤ HumanContact 64 243 BM Club membership ⬤ Affiliation 65 95 MH Highschool ⬤ HumanSocial 70 366 Ml Les Misérables ⬤ Misc 77 254 RM Reality Mining ⬤ HumanContact 96 1,086,404 AN David Copperfield ⬤ Lexical 112 425 HY Hypertext 2009 ⬤ HumanContact 113 20,818 FD Florida ecosystem dry ⬤ Trophic 128 2,137 FW Florida ecosystem wet ⬤ Trophic 128 2,106 RA Manufacturing emails ⬤ Communication 167 82,927 ML Little Rock Lake ⬤ Trophic 183 2,494 JZ Jazz musicians ⬤ HumanSocial 198 2,742 MP PDZBase ⬤ Metabolic 212 244 MO Residence hall ⬤ HumanSocial 217 2,672 MI Physicians ⬤ HumanSocial 241 1,098 HA Haggle ⬤ HumanContact 274 28,244 Ar American Revolution ⬤ Affiliation 277 160 If Infectious ⬤ HumanContact 410 17,298 PM Caenorhabditis elegans ⬤ Metabolic 453 4,596 UL Unicode languages ⬤ Feature 1,122 1,255 A@ U. Rovira i Virgili ⬤ Communication 1,133 5,451 ET Euroroad ⬤ Infrastructure 1,174 1,417 Mg Blogs ⬤ Hyperlink 1,224 19,025 TC Air traffic control ⬤ Infrastructure 1,226 2,615 CR Chicago ⬤ Infrastructure 1,467 1,298 AF US airports ⬤ Infrastructure 1,574 28,236 MS Human protein (Stelzl) ⬤ Metabolic 1,706 6,207 MN Bible ⬤ Lexical 1,773 16,401 Shf Hamsterster friendships ⬤ Social 1,858 12,534 Mp Protein ⬤ Metabolic 1,870 2,277 UC UC Irvine messages ⬤ Communication 1,899 59,835 DN DNC emails co-recipients ⬤ OnlineContact 2,029 136,602 DNc DNC emails ⬤ Communication 2,029 39,264 MC Crime ⬤ Interaction 2,209 1,476 MF Human protein (Figeys) ⬤ Metabolic 2,239 6,452 UF UC Irvine forum ⬤ Interaction 2,320 33,720 Sh Hamsterster full ⬤ Social 2,426 16,631 ME Adolescent health ⬤ HumanSocial 2,539 12,969 EF Facebook (NIPS) ⬤ Social 2,888 2,981 OF OpenFlights ⬤ Infrastructure 2,939 30,501 MV Human protein (Vidal) ⬤ Metabolic 3,133 6,726 OF OpenFlights ⬤ Infrastructure 3,425 67,663 M1 MovieLens 100k ⬤ Rating 3,568 100,000 UG US power grid ⬤ Infrastructure 4,941 6,594 Dj JUNG dependency ⬤ Software 6,120 138,706 RC Reactome ⬤ Metabolic 6,327 147,547 DJ JDK dependency ⬤ Software 6,434 150,985 AS Route views ⬤ Computer 6,474 13,895 AD Advogato ⬤ Social 6,541 51,127 EL Wikipedia elections ⬤ OnlineContact 7,118 103,675 CH Chess ⬤ Interaction 7,301 65,053 PG Pretty Good Privacy ⬤ OnlineContact 10,680 24,316 Pi DBLP ⬤ Citation 12,591 49,743 FO FOLDOC ⬤ Hyperlink 13,356 125,207 PS Prosper.com ⬤ Affiliation 14,177 21,017 Mui MovieLens u-i ⬤ Folksonomy 15,619 95,580 GC Google.com internal ⬤ Hyperlink 15,763 171,206 M2 MovieLens 1M ⬤ Rating 15,786 1,000,209 AP arXiv astro-ph ⬤ Coauthorship 18,771 198,050 TH arXiv hep-th ⬤ Coauthorship 22,908 2,673,133 EA Edinburgh Associative Thesaurus ⬤ Lexical 23,132 511,764 CC Cora citation ⬤ Citation 23,166 91,500 TL Twitter lists ⬤ Social 23,370 33,101 GP Google+ ⬤ Social 23,628 39,242 Mut MovieLens u-t ⬤ Folksonomy 24,546 95,580 PW Prosper.com ⬤ Interaction 25,697 35,377 IN CAIDA ⬤ Computer 26,475 53,381 SX Sexual escorts ⬤ Rating 26,836 50,632 THc arXiv hep-th ⬤ Citation 27,770 352,807 nfr Wikinews (fr) ⬤ Authorship 27,954 193,618 PH arXiv hep-ph ⬤ Coauthorship 28,093 4,596,803 DG Digg ⬤ Communication 30,398 87,627 LX Linux ⬤ Software 30,837 213,954 bfr Wikibooks (fr) ⬤ Authorship 33,881 201,727 PHc arXiv hep-ph ⬤ Citation 34,546 421,578 TO Internet topology ⬤ Computer 34,761 171,403 Ff Filmtipset ⬤ Social 39,199 87,415 Mti MovieLens t-i ⬤ Folksonomy 40,657 95,580 Ow Facebook ⬤ Communication 46,952 876,993 SD Slashdot ⬤ Communication 51,083 140,778 AC arXiv cond-mat ⬤ Authorship 55,467 58,595 BK Brightkite ⬤ Social 58,228 214,078 GN Gnutella ⬤ Computer 62,586 147,892 Lk Linux kernel mailing list replies ⬤ Communication 63,399 1,096,440 Ol Facebook (WOSN) ⬤ Social 63,731 817,035 ES Epinions ⬤ Social 75,879 508,837 SZ Slashdot Zoo ⬤ Social 79,120 515,397 R2 Reuters-21578 ⬤ Text 81,791 1,464,182 EN Enron ⬤ Communication 87,273 1,148,072 PL Prosper loans ⬤ Interaction 89,269 3,394,979 WD Wikipedia Threads (de) ⬤ Communication 91,340 2,435,731 Us Wikipedia, simple en (dynamic) ⬤ Hyperlink 100,312 1,627,472 J2 Jester 150 ⬤ Rating 101,524 1,728,847 LM Livemocha ⬤ Social 104,103 2,193,083 Fc Filmtipset ⬤ Interaction 104,890 1,266,753 FI Flickr ⬤ Misc 105,938 2,316,948 Vut vi.sualize.us u-t ⬤ Folksonomy 116,279 2,298,816 CO Wikipedia conflict ⬤ OnlineContact 118,100 2,917,785 EP Epinions ⬤ Social 131,828 841,372 qen Wikiquote (en) ⬤ Authorship 137,970 549,210 W2 WikiSigned ⬤ OnlineContact 138,592 740,397 WO WordNet ⬤ Lexical 146,005 656,999 J1 Jester 100 ⬤ Rating 146,942 4,136,360 Sc Catster ⬤ Social 149,700 5,449,275 M3 MovieLens 10M ⬤ Rating 150,433 10,000,054 DB Douban ⬤ Social 154,908 327,162 mde Wiktionary (de) ⬤ Authorship 157,806 1,229,501 Lb Last.fm band ⬤ Interaction 176,061 19,150,868 nen Wikinews (en) ⬤ Authorship 184,536 901,416 GW Gowalla ⬤ Social 196,591 950,327 Cut CiteULike u-t ⬤ Folksonomy 198,707 2,411,819 ben Wikibooks (en) ⬤ Authorship 200,108 1,164,576 WU WebUni Magdeburg ⬤ Text 212,552 3,869,707 But BibSonomy u-t ⬤ Folksonomy 216,261 2,555,080 DBT TV Tropes ⬤ Feature 216,508 3,232,134 YG YouTube ⬤ Affiliation 218,563 293,360 LI Libimseti.cz ⬤ Social 220,970 17,359,346 WR Writers ⬤ Authorship 224,925 144,340 Fr Filmtipset ⬤ Rating 225,153 19,554,219 Tnl Wikipedia talk, Dutch ⬤ Communication 225,749 1,554,699 ST Movies ⬤ Feature 233,283 281,396 GH Github ⬤ Authorship 233,905 440,237 PR Producers ⬤ Authorship 236,510 207,268 EU EU institution ⬤ Communication 265,214 420,045 EX Wikipedia (en) ⬤ Text 279,519 7,846,807 DF Digg friends ⬤ Social 279,630 1,731,653 SF Stanford ⬤ Hyperlink 281,903 2,312,497 DV Digg votes ⬤ Rating 282,371 3,018,197 CD DBLP co-authorship ⬤ Coauthorship 317,080 1,049,866 ND Notre Dame ⬤ Hyperlink 325,729 1,497,134 CA Amazon (MDS) ⬤ Misc 334,863 925,872 Bx BookCrossing (ratings) ⬤ Rating 341,559 433,652 RL Record labels ⬤ Affiliation 355,095 233,286 OC Occupation ⬤ Affiliation 356,884 250,945 CL Actor collaborations ⬤ Misc 382,219 33,115,812 CS CiteSeer ⬤ Citation 384,413 1,751,463 LO Location ⬤ Feature 397,589 293,697 Am Amazon (TWEB) ⬤ Misc 403,394 3,387,388 BAr Baidu related ⬤ Hyperlink 415,641 3,284,387 LK Linux kernel mailing list threads ⬤ Interaction 421,599 1,565,683 Sd Dogster ⬤ Social 426,820 8,546,581 Tru Wikipedia talk, Russian ⬤ Communication 457,017 2,282,055 Ws Twitter (ICWSM) ⬤ Social 465,017 834,797 Ds Discogs label–style ⬤ Feature 487,911 5,255,950 Tes Wikipedia talk, Spanish ⬤ Communication 497,446 2,702,879 Tde Wikipedia talk, German ⬤ Communication 519,403 6,729,794 GE DBpedia genre ⬤ Feature 525,651 463,497 Vui vi.sualize.us u-i ⬤ Folksonomy 529,646 2,298,816 Tpt Wikipedia talk, Portuguese ⬤ Communication 541,355 2,424,962 Dr Discogs label–genre ⬤ Feature 541,557 4,147,665 BX BookCrossing (implicit) ⬤ Rating 551,079 1,149,739 Scd Catster/Dogster ⬤ Social 623,766 15,699,276 AM Actor movies ⬤ Affiliation 639,286 1,470,404 YD Yahoo advertisers ⬤ Lexical 653,260 2,931,708 Vti vi.sualize.us t-i ⬤ Folksonomy 659,472 2,298,816 BS Berkeley/Stanford ⬤ Hyperlink 685,230 7,600,595 Cui CiteULike u-i ⬤ Folksonomy 777,199 2,411,819 Bui BibSonomy u-i ⬤ Folksonomy 779,035 2,555,080 Tit Wikipedia talk, Italian ⬤ Communication 863,846 3,067,680 GO Google ⬤ Hyperlink 875,713 5,105,039 Wut Twitter u-t ⬤ Folksonomy 880,846 4,664,605 FG Flickr ⬤ Affiliation 895,589 8,545,307 NX Netflix ⬤ Rating 978,148 100,480,507 ER Epinions ⬤ Rating 996,744 13,668,320 Up Wikipedia, pl (dynamic) ⬤ Hyperlink 1,033,050 25,026,208 Cti CiteULike t-i ⬤ Folksonomy 1,038,323 2,411,819 Ud Wikipedia, nl (dynamic) ⬤ Hyperlink 1,039,252 20,070,561 Ls Last.fm song ⬤ Interaction 1,086,604 19,150,868 RD Pennsylvania ⬤ Infrastructure 1,088,092 1,541,898 Tar Wikipedia talk, Arabic ⬤ Communication 1,095,799 1,913,103 CY Youtube friendship ⬤ Social 1,134,890 2,987,624 LY Youtube links ⬤ Social 1,138,499 4,942,297 Bti BibSonomy t-i ⬤ Folksonomy 1,176,793 2,555,080 CN Countries ⬤ Affiliation 1,182,526 637,134 SO Stack Overflow ⬤ Rating 1,187,072 1,301,942 Ui Wikipedia, it (dynamic) ⬤ Hyperlink 1,204,009 34,826,283 Tzh Wikipedia talk, Chinese ⬤ Communication 1,219,241 2,284,546 Pc DBLP ⬤ Coauthorship 1,314,050 18,986,618 R1 Texas ⬤ Infrastructure 1,379,917 1,921,660 HY Hyves ⬤ Social 1,402,673 2,777,419 Tfr Wikipedia talk, French ⬤ Communication 1,420,367 4,641,928 Wpl Wikipedia links, pl ⬤ Hyperlink 1,529,135 57,489,447 WT TREC WT10g ⬤ Hyperlink 1,601,787 8,063,026 Wpt Wikipedia links, pt ⬤ Hyperlink 1,603,222 49,021,409 Wja Wikipedia links, ja ⬤ Hyperlink 1,610,638 71,055,717 PL Pokec ⬤ Social 1,632,803 30,622,564 SK Skitter ⬤ Computer 1,696,415 11,095,298 LF Flickr links ⬤ Social 1,715,255 15,551,250 Wti Twitter t-i ⬤ Folksonomy 1,773,193 2,635,885 TM Teams ⬤ Affiliation 1,836,793 1,366,466 RE Reuters ⬤ Text 1,846,441 96,903,520 Wit Wikipedia links, it ⬤ Hyperlink 1,865,965 91,555,008 WP Wikipedia, English ⬤ Hyperlink 1,870,709 39,953,145 mfr Wiktionary (fr) ⬤ Authorship 1,917,281 7,399,298 RO California ⬤ Infrastructure 1,965,206 2,766,607 HUi Hudong internal ⬤ Hyperlink 1,984,484 14,869,484 BAi Baidu internal ⬤ Hyperlink 2,141,300 17,794,839 men Wiktionary (en) ⬤ Authorship 2,163,240 8,998,641 Ug Wikipedia, de (dynamic) ⬤ Hyperlink 2,166,669 86,337,879 Uf Wikipedia, fr (dynamic) ⬤ Hyperlink 2,212,682 59,008,831 TR TREC (disks 4–5) ⬤ Text 2,285,379 151,632,178 FL Flickr ⬤ Social 2,302,925 33,140,017 WK Wikipedia, English ⬤ Communication 2,394,385 5,021,410 HUr Hudong related ⬤ Hyperlink 2,452,715 18,854,882 FX Flixster ⬤ Social 2,523,386 7,918,801 it Wikipedia (it) ⬤ Authorship 2,531,261 26,241,217 YS Yahoo songs ⬤ Rating 2,626,941 256,804,235 Wru Wikipedia links, ru ⬤ Hyperlink 2,853,118 82,056,101 Wa Twitter ⬤ OnlineContact 2,919,613 12,887,063 Ten Wikipedia talk, English ⬤ Communication 2,987,535 24,981,163 Wfr Wikipedia links, fr ⬤ Hyperlink 3,023,165 102,382,410 OR Orkut ⬤ Social 3,072,441 117,184,899 YT YouTube ⬤ Social 3,223,589 9,375,374 Wde Wikipedia links, de ⬤ Hyperlink 3,225,565 81,626,917 Dt Discogs artist–style ⬤ Feature 3,236,269 24,085,580 Da Discogs artist–genre ⬤ Feature 3,509,661 19,033,891 es Wikipedia (es) ⬤ Authorship 3,623,742 27,011,506 PC US patents ⬤ Citation 3,774,768 16,518,947 Dl Discogs ⬤ Affiliation 3,780,417 14,414,659 WC Wikipedia (en) ⬤ Feature 3,889,933 3,795,796 DB DBpedia ⬤ Misc 3,966,924 13,820,853 de Wikipedia (de) ⬤ Authorship 4,046,832 57,323,775 fr Wikipedia (fr) ⬤ Authorship 4,598,826 46,168,355 LJ LiveJournal ⬤ Social 4,847,571 68,475,391 Lj LiveJournal links ⬤ Social 5,204,176 49,174,464 AR Amazon ratings ⬤ Rating 5,523,029 5,838,041 Dut Delicious ut ⬤ Folksonomy 6,178,261 301,186,579 Pa DBLP ⬤ Authorship 6,851,776 8,649,016 Wui Twitter u-i ⬤ Folksonomy 9,618,743 12,656,613 Wen Wikipedia links, en ⬤ Hyperlink 12,150,976 378,142,420 LG LiveJournal ⬤ Affiliation 13,891,479 112,307,385 OG Orkut ⬤ Affiliation 14,297,249 327,037,487 DL Wikipedia, English ⬤ Hyperlink 18,268,992 172,183,984 en Wikipedia (en) ⬤ Authorship 29,143,573 266,769,613 Dui Delicious ui ⬤ Folksonomy 35,444,383 301,186,579 TW Twitter (WWW) ⬤ Social 41,652,230 1,468,365,182 Dti Delicious ti ⬤ Folksonomy 42,801,712 301,183,605 TF Twitter (MPI) ⬤ Social 52,579,682 1,963,263,821 WT Web trackers ⬤ Hyperlink 68,087,704 140,613,762 FR Friendster ⬤ Social 68,349,466 2,586,147,869