科研之友
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摘要
An anticoloring of a graph is a partial coloring of the vertices in which no two adjacent vertices are colored in distinct colors. In the basic anticoloring problem, we are given a graph G and positive integers B-1, ..., B-k, and have to determine whether there exists an anticoloring of G such that B-j vertices are colored in color j, 1 <= j <= k. This problem is known to be NP-complete, even for two colors. We deal with the anticoloring problem on the rook's graph. In general, we are able to provide sub-linear algorithms. In some particular cases, we give an explicit formula for the optimal solution.
- 出版日期2015-6-19
