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arXiv · 1303.4593

Improved bound on facial parity edge coloring

Borut Lužar·Riste Škrekovski
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Abstract

A facial parity edge coloring of a 2-edge connected plane graph is an edge coloring where no two consecutive edges of a facial walk of any face receive the same color. Additionally, for every face f and every color c either no edge or an odd number of edges incident to f are colored by c. Czap, Jendrol', Kardoš and Sotak showed that every 2-edge connected plane graph admits a facial parity edge coloring with at most 20 colors. We improve this bound to 16 colors.

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Borut Lužar, Riste Škrekovski. 2013-03-19. Improved bound on facial parity edge coloring. https://doi.org/10.1016/j.disc.2013.05.022

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