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Maximum Colorful Cycles in Vertex-Colored Graphs

Abstract : In this paper, we study the problem of finding a maximum colorful cycle a vertex-colored graph. Specifically, given a graph with colored vertices, the goal is to find a cycle containing the maximum number of colors. We aim to give a dichotomy overview on the complexity of the problem. We first show that the problem is NP-hard even for simple graphs such as split graphs, biconnected graphs, interval graphs. Then we provide polynomial-time algorithms for classes of vertex-colored threshold graphs and vertex-colored bipartite chain graphs, which are our main contributions.
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https://hal.archives-ouvertes.fr/hal-01762581
Contributor : Yannis Manoussakis <>
Submitted on : Tuesday, April 10, 2018 - 11:32:26 AM
Last modification on : Wednesday, April 8, 2020 - 3:23:46 PM

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Giuseppe Italiano, Yannis Manoussakis, Nguyen Kim Thang, Hong-Phong Pham. Maximum Colorful Cycles in Vertex-Colored Graphs. CSR 2018 - 13th International Computer Science Symposium in Russia, Jun 2018, Moscow, Russia. pp.106-117, ⟨10.1007/978-3-319-90530-3_10⟩. ⟨hal-01762581⟩

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