Papers › A Linear Algorithm for Minimum Dominator Colorings of Orientations of Paths
A Linear Algorithm for Minimum Dominator Colorings of Orientations of Paths
Michael Cary
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In this paper we present an algorithm for finding a minimum dominator coloring of orientations of paths. To date this is the first algorithm for dominator colorings of digraphs in any capacity. We prove that the algorithm always provides a minimum dominator coloring of an oriented path and show that it runs in 𝒪(n) time. The algorithm is available at https://github.com/cat-astrophic/MDC-orientations_of_paths/.
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