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几个特殊图的泛宽度色数 被引量:1

The Packing Chromatic Numbers of Some Special Graphs
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摘要 设G是一个简单图,i是一个正整数.X是V(G)的一个子集.如果X中任意两个点的距离都大于i,则称X是一个i-宽度箱.i叫做X的宽度.一个图G的泛宽度色数χρ(G)是使得G的顶点集V(G)被剖分成宽度两两不同的k个宽度箱的最小整数k.本文给出了轮,扇及图Kn的推广的haj s sum的泛宽度色数. Let G = (V(G), E(G)) be a simple graph, i be a positive integer. Then X lohtain in V(G) is a i- packing if the distances of any pairwise vertices of X are greater than i. The packing chromatic number xp (G) of a graph G is the smallest integer k, which make the vertex set of G can be partitioned into k different packings. This paper presents the packing chromatic numbers of some special graphs.
出处 《山东科学》 CAS 2008年第4期1-5,共5页 Shandong Science
基金 国家自然科学基金资助项目(60673047)
关键词 泛宽度染色 i-宽度箱 hjos SUM 宽度色数 packing-coloring hajos sum i-packing packing chromatic number
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参考文献5

  • 1Goddard W,Hedetniemi S M,Hedetniemi S T, HARRIS J M,RALL D F. Broadcast Chromatic Numbers of Graphs[EB/OL]. http://www. cs. clemson, edu/goddard/papers/graphs/broadcastColoring, pdf.
  • 2Slope C. An Eccentric Coloring of trees[J]. Australas J Combin, 2004(29):309- 321.
  • 3Bresar B, Klavzar S, RALL D F. On the Packing Number of Cartesian Products Hexagonal Lattice, and Trees [J]. Discrete Applied Mathematics, 2007 (155) : 2303 - 2311.
  • 4ZHU X.An Analogue of hajos Theorem for the Circular Chromatic Number[J]. Proceedings of the American Mathematical Society,2001 (129) :2845 - 2852.
  • 5Bollobos B. Modem Graph Theory[ M]. New York: Springer-Vedag, 1998 : 145 - 177.

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