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arXiv · 1706.03109

Complete colorings of planar graphs

M. Gabriela Araujo-Pardo·F. Esteban Contreras-Mendoza·Sara J. Murillo-García·Andrea B. Ramos-Tort·Christian Rubio-Montiel
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Abstract

In this paper, we study the achromatic and the pseudoachromatic numbers of planar and outerplanar graphs as well as planar graphs of girth 4 and graphs embedded on a surface. We give asymptotically tight results and lower bounds for maximal embedded graphs.

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M. Gabriela Araujo-Pardo, F. Esteban Contreras-Mendoza, Sara J. Murillo-García, Andrea B. Ramos-Tort, Christian Rubio-Montiel. 2018-04-06. Complete colorings of planar graphs. https://doi.org/10.1016/j.dam.2018.07.031

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