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...
The equitable total chromatic number Χet (G) of a graphG is the smallest integerk for whichG has a total k-coloring such that the number of vertices and edges in any two color classes differ by at most one. In thispaper, we determine the equitable total chromatic number of one class ...
gives the chromatic number of the graph, which is the fewest number of colors necessary to color the graph. 更多信息和选项 参见 ChromaticPolynomialMinimumVertexColoring 技术笔记 Upgrading fromCombinatorica Combinatorica 按以下格式引用:Wolfram Research (2012),ChromaticNumber,Wolfram 语言函数,https://refer...
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...
Schmerl, The chromatic number of graphs which induce neither K1,3 nor K5 - e, Discrete mathematics 58 (1986), no. 3, 253-262.H. Kierstead, J.H. Schmerl. The chromatic number of graphs which induce neither K 1, 3 nor K 5 - e . Disc. Math. 58 (1986) 253–262. MATH MathSci...
Consider the random graph G(n,p) where every two vertices in the graph are connected randomly and independently with probability p. Denote G∼G(n,p) if G is generated in this way. The chromatic number χ(G) of a graph G means how many colors are needed to vertex-color it....
Transcribed image text: 32. What is the chromatic number of the given graph? * a) 2 b) 3 c) 4 d) 5 Not the question you’re looking for? Post any question and get expert help quickly. Start learning Chegg Products & Services Chegg Study Help Citation Generator Digi...
A total dominator coloring of G G G , is a proper coloring of the vertices of G G G in which each vertex of the graph is adjacent to every vertex of some color class. The total dominator chromatic (TDC) number \\chi_d^t(G) \\chi_d^t(G) of G G , is the minimum number of...
A Bound for the Chromatic Number of a Graph 来自 Semantic Scholar 喜欢 0 阅读量: 37 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-...
In particular, we show that for any graph G and odd positive integer p, the chromatic number of G[\p] is bounded by the weak (2p 展开 关键词: Bounded expansion Chromatic number Exact distance graphs Generalised colouring numbers Planar graphs ...