1.1 图色数chromatic number简介 图色数(英语:chromatic number),也被称为 顶点色数(vertex chromatic number),指将一张图上的每个顶点染色,使得相邻的两个点颜色不同,最小需要的颜色数。最小染色数用 {\displaystyle \chi (G)} 表示。 例子: Petersen graph的染色数是3. Petersen graph 记为P 分析 图中提供...
Learn to define what the chromatic number of a graph is. Discover the steps for coloring graphs. Learn how to find the chromatic number of a graph...
In this case the cycle contains even number of edges. Let ( ) { } { } 1 1 2 i i if i is odd C v v if i iseven + = , for i = 1,2,...,2k-1 and ( ) 2 1 k C v v = {2} Case 2 n = 2k+1, k≥ 1 In this case the cycle contains odd number of edges.Dr....
The smallest number of colours necessary to colour the nodes of agraphso that no two adjacent nodes have the same colour. See also:four colour map theorem. Graph Theory Lessons. Eric Weisstein's World Of Mathematics. The Geometry Center. ...
A Pêcher,X Zhu - 《Journal of Graph Theory》 被引量: 20发表: 2006年 On the chromatic number of (P5, K2,t)-free graphs In this paper we study the chromatic number of (P5,K2,t)-free graphs witht≥2. It is still an open question whether there are polynomial (χ-binding) funct....
L-Edge Chromatic Number Of A Graph 来自 Semantic Scholar 喜欢 0 阅读量: 22 作者:RBG Jothi,Virudhunagar,A. U. Devi 摘要: Graph colouring is one of the most popular concept in Graph Theory. The notion of "List Colouring" was introduced in 1970's by Vizing and Erdos , Rubin and Taylor....
The Girth-Chromatic number theorem is a theorem from graph theory, stating that graphs with arbitrarily large girth and chromatic number exist. We formalize a probabilistic proof of this theorem in the Isabelle/HOL theorem prover, closel... L Noschinski - Springer Berlin Heidelberg 被引量: 5发...
Given integers k, n, 2 n0(k) the chromatic number of this graph is (k - 1)() + rs, where n = (k - 1)s + r, 0 ≤ r < k - 1.P. FranklCNRS 15 Quai A. France ParisJournal of Graph TheoryP. Frankl, On the chromatic number of the general Kneser-graph, J. Graph Theory...
A Bound for the Chromatic Number of a Graph 来自 Semantic Scholar 喜欢 0 阅读量: 38 作者: Cyriel van Nuffelen 摘要: It was proved (A. Kotlov and L. Lovász, The rank and size of graphs, J. Graph Theory 23 (1996), 185–189) that the number of vertices in a twin-...
X Zhu - 《Journal of Graph Theory》 被引量: 323发表: 1992年 On the adaptable chromatic number of graphs The is the smallest integer such that for any edge -colouring of there exists a vertex -colouring of in which the same colour never appears on an edge and ... P Hell,X Zhu - ...