The convex recoloring (CR) problem is to recolor the nodes of a colored graph at minimum number of color changes such that each color induces a connected subgraph. We adjust to the convex recoloring problem the column generation framework developed by Johnson et al. (Math Program 62:133–151, 1993). For the convex recoloring problem on a tree, the subproblem to generate columns can be solved in polynomial time by a dynamic programming algorithm. The column generation framework solves the convex recoloring problem on a tree with a large number of colors extremely fast.
CITATION STYLE
Chopra, S., Erdem, E., Kim, E., & Shim, S. (2017). Column generation approach to the convex recoloring problem on a tree. In Springer Proceedings in Mathematics and Statistics (Vol. 213, pp. 39–53). Springer New York LLC. https://doi.org/10.1007/978-3-319-66616-7_3
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