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2篇 您的检索式:作者名="MIAOLianying"
    题名 作者 年代 出处 被引量
1EDGE COVERING COLORING AND FRACTIONAL EDGE COVERING COLORING显示文摘Abstract. Let G be a graph with edge set E(G). S E(G) is called an edge cover of G ifevery vertex of G is an end vertex of some edges in S. The edge covering chromatic numberof a graph G, denoted by Xc(G) is the maximum size of a partition of E(G) into edgecovers of G. It is known that for any graph G with minimum degree δ,δ- 1 The fractional edge covering chromatic number of a graph G, denoted by Xcf(G), is thefractional matching number of the edge covering hypergraph H of G whose vertices arethe edges of G and whose hyperedges the edge covers of G. In this paper, we studythe relation between X’c(G) and δ for any graph G, and give a new simple proof of theinequalities δ - 1 ≤ X’c(G) ≤ δ by the technique of graph coloring. For any graph G, wegive an exact formula of X’cf(G), that is,where A(G)=minand the minimum is taken over all noempty subsets S of V(G) and C[S] is the set of edgesthat have at least one end in S.MIAOLianying LIUGuizhen 2002Journal of Systems Science & Complexity2002,15,2:10
2Thesizeofedgechromaticcriticalgraphswithmaximumdegree6显示文摘LUORong MIAOLianying ZHAOYue 2009JournalofGraphTheory2009,60,2:1
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