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arXiv · 2303.13759

Distinguishing chromatic number of Hamiltonian circulant graphs

Michael D. Barrus·Jean Guillaume·Benjamin Lantz
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Abstract

The distinguishing chromatic number of a graph $G$ is the smallest number of colors needed to properly color the vertices of $G$ so that the trivial automorphism is the only symmetry of $G$ that preserves the coloring. We investigate the distinguishing chromatic number for Hamiltonian circulant graphs with maximum degree at most 4.

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Michael D. Barrus, Jean Guillaume, Benjamin Lantz. 2023-03-24. Distinguishing chromatic number of Hamiltonian circulant graphs. https://arxiv.org/abs/2303.13759

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