Algorithms for maximum k-colorings and k-coverings of transitive graphs

Algorithms for maximum k-colorings and k-coverings of transitive graphs
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传递图的最大 k 着色和 k 覆盖的算法

DOI:
10.1002/net.3230170407
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发表时间:
1987
期刊:
影响因子:
2.1
通讯作者:
F. Gavril
F. Gavril
中科院分区:
计算机科学4区
文献类型:
--
作者:
F. Gavril

文献摘要

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考虑一个图G和一个正整数k,最大k着色问题是使用k种颜色为最大数量的顶点上色,这样相邻的两个顶点没有相同的颜色。最大k覆盖问题是找到k个覆盖最大数量顶点的不相交团。本文包含了寻找传递图的最大k色和最大k覆盖的多项式时间算法。
Consider a graph G and a positive integer k. The maximum k-coloring problem is to color a maximum number of vertices using k colors, such that no two adjacent vertices have the same color. The maximum k-covering problem is to find k disjoint cliques covering a maximum number of vertices. The present paper contains polynomial time algorithms for finding maximum k-colorings and maximum k-coverings of transitive graphs.