Linear-time algorithm for vertex 2-coloring without monochromatic triangles on planar graphs [article]

Michał Karpiński, Krzysztof Piecuch
2021 arXiv   pre-print
In the problem of 2-coloring without monochromatic triangles (or triangle-tree 2-coloring), vertices of the simple, connected, undirected graph are colored with either 'black' or 'white' such that there are no 3 mutually adjacent vertices of the same color. In this paper we are positively answering the question posed in our previous work, namely, if there exists an algorithm solving 2-coloring without monochromatic triangles on planar graphs with linear-time complexity.
arXiv:2110.04606v1 fatcat:3eqk7dsi7bahlc3xxlffj3z6cu