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Distinguishing colorings of Cartesian products of complete graphs

Michael J. Fisher·Garth Isaak
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Abstract

We determine the values of s and t for which there is a coloring of the edges of the complete bipartite graph K_{s,t} which admits only the identity automorphism. In particular this allows us to determine the distinguishing number of the Cartesian product of complete graphs.

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Michael J. Fisher, Garth Isaak. 2006-07-19. Distinguishing colorings of Cartesian products of complete graphs. https://arxiv.org/abs/math/0607465

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