The Hats game. On maximum degree and diameter
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DOI: 10.1016/j.disc.2022.112868
Abstract: We analyze the following version of the deterministic Hats game. We have a graph G, and a sage resides at each vertex of G. When the game starts, an adversary puts on the head of… read more here.
Keywords: maximum degree; hat colors; game; hats game ... See more keywords
Acyclic matchings in graphs of bounded maximum degree
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DOI: 10.1016/j.disc.2022.112885
Abstract: A matching $M$ in a graph $G$ is acyclic if the subgraph of $G$ induced by the set of vertices that are incident to an edge in $M$ is a forest. We prove that every… read more here.
Keywords: maximum degree; acyclic matchings; graphs bounded; bounded maximum ... See more keywords