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arXiv · 1511.06844

A State Calculus for Graph Coloring

Louis H. Kauffman
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Abstract

This paper discusses reformulations of the problem of coloring plane maps with four colors. We give a number of alternate ways to formulate the coloring problem including a tautological expansion similar to the Penrose Bracket, and an extension of the Penrose Bracket that counts colorings of arbitrary cubic graphs presented as immersions in the plane.

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Louis H. Kauffman. 2016-06-15. A State Calculus for Graph Coloring. https://arxiv.org/abs/1511.06844

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