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arXiv · 2001.08801

A Construction of Uniquely Colourable Graphs with Equal Colour Class Sizes

Samuel Mohr
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Abstract

A uniquely $k$-colourable graph is a graph with exactly one partition of the vertex set into at most $k$ colour classes. Here, we investigate some constructions of uniquely $k$-colourable graphs and give a construction of $K_k$-free uniquely $k$-colourable graphs with equal colour class sizes.

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BibTeXRIS

Samuel Mohr. 2020-11-20. A Construction of Uniquely Colourable Graphs with Equal Colour Class Sizes. https://doi.org/10.1016/j.dam.2020.11.015

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