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...
A dominated edge coloring of a graph \\(G\\), is a proper edge coloring of \\(G\\) such that each color class is dominated by at least one edge of \\(G\\). The minimum number of colors among all dominated edge coloring is called the dominated edge chromatic number, denoted by ...
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...
A graph G is said to be k−colorable if its vertex set V can be colored with k colors such that no two adjacent vertices have the same color. The chromatic number of a graph G, denoted by χ, is the minimum number of colors that can be used to color the vertices of G such tha...
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....
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...
Total dominator chromatic number of $k$-subdivision of graphs Let G G be a simple graph. A total dominator coloring of G G , is a proper coloring of the vertices of G G in which each vertex of the graph is adjacent ... S Alikhani,N Ghanbari,S Soltani 被引量: 1发表: 2018年 Colo...
The game chromatic number of G is defined through a two-person game: the colouring game. Given a graph G and a set C of colours, Alice and Bob, with Alice playing first, take turns in playing the game. Each play by either pla隐藏>> The game chromatic number of graphs Xuding Zhu ...
We show that if a graph has acyclic chromatic number k, then its game chromatic number is at most k(k + 1). By applying the known upper bounds for the acyclic chromatic numbers of various classes of graphs, we obtain upper bounds for the game chromatic number of these classes of graphs...
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-...