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arXiv · 1604.04509

Bounding the search number of graph products

N. E. Clarke·M. E. Messinger·G. Power
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Abstract

In this paper, we provide results for the search number of the Cartesian product of graphs. We consider graphs on opposing ends of the spectrum: paths and cliques. Our main result determines the pathwidth of the product of cliques and provides a lower bound for the search number of the product of cliques. A consequence of this result is a bound for the search number of arbitrary graphs G and H based on their respective clique numbers.

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N. E. Clarke, M. E. Messinger, G. Power. 2016-04-15. Bounding the search number of graph products. https://arxiv.org/abs/1604.04509

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