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Given an edge‐colored graph G, a cycle with all its edges with different colors is called a rainbow cycle. The rainbow cycle cover (RCC) problem consists of finding the minimum number of disjoint rainbow cycles covering G. We present an integer linear programming model for the RCC problem and a reduction process for decreasing the dimensions of the graph, resulting in a more efficient method that...
Let G = (V, E, Q) be a undirected graph, where V is the set of vertices, E is the set of edges, and Q = {Q1,…,Qq} is a partition of V into q subsets. We refer to Q1,…,Qq as the components of the partition. The partition coloring problem (PCP) consists of finding a subset V′ of V with exactly one vertex from each component Q1,…,Qq and such that the chromatic number of the graph induced in G by V′ is...
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