An oriented coloring of graphs with maximum average degree less that 10/3
Abstract
An oriented k-coloring of an oriented graph G is a homomorphism from G to an oriented graph H of order k. We prove that every oriented graph with maximum average degree strictly less than 10/3 has an oriented chromatic number at most 16. This improves the previous known bound of 19 due to Borodin et al. [Borodin, O. V. and Kostochka, A. V. and Nesetril, J. and Raspaud, A. and Sopena, E., On the maximum average degree and the oriented chromatic number of a graph, Discrete Math., 77–89, 206, 1999].
Domains
Discrete Mathematics [cs.DM]
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