We investigate thegroup sum chromatic number(χgΣ(G)) of graphs, i.e. the smallest valuessuch that taking any Abelian groupGof orders, there exists a functionf:E(G)→Gsuch that the sums of edge labels properly
The circular chromatic number of graphs was first introduced by Vince [10] as the “star chromatic number”. The concept has attracted considerable attention [12], [13]. It is known that for any graph G, χ(G)−1<χc(G)≤χ(G), and hence χ(G)=⌈χc(G)⌉. Also, for any...
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 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...
Sunlet graphStar graphA k-coloring of a graph is a vertex coloring of G that uses k-colors. The chromatic number 蠂(G) of a graph G is the minimum number of independent subsets that partition the vertex set of G. Any such minimum partition is called a chromatic partition of V(G). ...
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....
ChromaticNumber[g] 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 按以下格式引用:Wolfram Research (2012),ChromaticNumber,Wolfram 语言函数,https://reference.wolfram.com/language/Comb...
Stahl, S. (1996), Note on the nth chromatic numbers of the Grötzsch graph. J. Graph Theory, 21: 207–209. doi: 10.1002/(SICI)1097-0118(199602)21:2<207::AID-JGT10>3.0.CO;2-G Author Information Department of Mathematics, University of Kansas, Lawrence, Kansas 66045 *Department of ...
Exponential Random Graph Models for:指数随机图模型 Exclusive or (xor) and hardware random number generators A simple unpredictable pseudo random number generator A family of random trees with random edge lengths(具有随机边长的随机树族) A Provably Secure True Random Number Generator with Built-in… ...
graph G is said to be ISK4-free if it does not contain any subdivisionof K 4 as an induced subgraph. In this paper, we propose new upper bounds for thechromatic number of ISK4-free graphs and {ISK4, triangle}-free graphs.Keywords Chromatic number · ISK4 · Subdivision1 IntroductionWe...