V2EX complete subgraph

Complete Subgraph

定义 Definition

complete subgraph(完全子图):在一个图(graph)中选取一部分顶点及其之间的边所形成的子图;如果该子图中任意两点之间都有边相连,则称为完全子图。图论中它常与 clique(团) 的概念密切相关(在简单无向图里,complete subgraph 往往就是指一个 clique)。

发音 Pronunciation (IPA)

/kmplit sbrf/

例句 Examples

A triangle in a simple graph is a complete subgraph on three vertices.
在简单图中,一个三角形就是由三个顶点构成的完全子图。

To prove the claim, we show that the induced subgraph on these vertices is a complete subgraph, hence a clique of size \(k\).
为证明该结论,我们说明这些顶点所诱导的子图是一个完全子图,因此是一个大小为 \(k\) 的团。

词源 Etymology

complete 源自拉丁语 completus(“充满的、完成的”),在数学语境里引申为“连接完备的/无缺的”;subgraph 由 *sub-*(“下位的、部分的”)+ graph(“图”)构成,表示“图的一个部分”。合起来即“在某个图中,部连接完全的那部分子图”。

相关词 Related Words

文学与著作中的用例 Literary Works

  • Douglas B. West, Introduction to Graph Theory(《图论导引》)
  • J. A. Bondy & U. S. R. Murty, Graph Theory(《图论》)
  • Reinhard Diestel, Graph Theory(《图论》)
  • Béla Bollobás, Modern Graph Theory(《现代图论》)
About     Help     Advertise     Blog     API     FAQ     Solana     1070 Online   Highest 6679       Select Language
创意工作者们的社区
World is powered by solitude
VERSION: 3.9.8.5 60ms UTC 22:43 PVG 06:43 LAX 15:43 JFK 18:43
Do have faith in what you're doing.
ubao msn snddm index pchome yahoo rakuten mypaper meadowduck bidyahoo youbao zxmzxm asda bnvcg cvbfg dfscv mmhjk xxddc yybgb zznbn ccubao uaitu acv GXCV ET GDG YH FG BCVB FJFH CBRE CBC GDG ET54 WRWR RWER WREW WRWER RWER SDG EW SF DSFSF fbbs ubao fhd dfg ewr dg df ewwr ewwr et ruyut utut dfg fgd gdfgt etg dfgt dfgd ert4 gd fgg wr 235 wer3 we vsdf sdf gdf ert xcv sdf rwer hfd dfg cvb rwf afb dfh jgh bmn lgh rty gfds cxv xcv xcs vdas fdf fgd cv sdf tert sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf shasha9178 shasha9178 shasha9178 shasha9178 shasha9178 liflif2 liflif2 liflif2 liflif2 liflif2 liblib3 liblib3 liblib3 liblib3 liblib3 zhazha444 zhazha444 zhazha444 zhazha444 zhazha444 dende5 dende denden denden2 denden21 fenfen9 fenf619 fen619 fenfe9 fe619 sdf sdf sdf sdf sdf zhazh90 zhazh0 zhaa50 zha90 zh590 zho zhoz zhozh zhozho zhozho2 lislis lls95 lili95 lils5 liss9 sdf0ty987 sdft876 sdft9876 sdf09876 sd0t9876 sdf0ty98 sdf0976 sdf0ty986 sdf0ty96 sdf0t76 sdf0876 df0ty98 sf0t876 sd0ty76 sdy76 sdf76 sdf0t76 sdf0ty9 sdf0ty98 sdf0ty987 sdf0ty98 sdf6676 sdf876 sd876 sd876 sdf6 sdf6 sdf9876 sdf0t sdf06 sdf0ty9776 sdf0ty9776 sdf0ty76 sdf8876 sdf0t sd6 sdf06 s688876 sd688 sdf86