EQUITABLE DEFECTIVE COLORINGS OF COMPLETE BIPARTITE GRAPHS
EQUITABLE DEFECTIVE COLORINGS OF COMPLETE BIPARTITE GRAPHS
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DOI:
10.12732/ijpam.v92i1.6
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发表时间:
2014-03
期刊:
影响因子:
--
通讯作者:
K. Nakprasit;Sukanda Cummuang
中科院分区:
文献类型:
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作者:
K. Nakprasit;Sukanda Cummuang
A graph G has an equitable k-defective coloring in m colors if its vertices can be colored with m colors such that the maximum degree of any subgraph induced by vertices assigned to the same color is at most k and the numbers of vertices in any two sets composed of the vertices that are assigned to the same color differ by at most one. The equitable k-defective chromatic number of a graph G, denoted by χED,k(G), is the smallest positive integer m for which G has an equitable k-defective coloring in m colors. In this paper, we present the equitable k-defective chromatic numbers of complete bipartite graphs for k = 1 and k = 2.