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arXiv · 1508.07357

Compressed Cliques Graphs, Clique Coverings and Positive Zero Forcing

Shaun Fallat·Karen Meagher·Abolghasem Soltani·Boting Yang
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Abstract

Zero forcing parameters, associated with graphs, have been studied for over a decade, and have gained popularity as the number of related applications grows. In particular, it is well-known that such parameters are related to certain vertex coverings. Continuing along these lines, we investigate positive zero forcing within the context of certain clique coverings. A key object considered here is the compressed cliques graph. We study a number of properties associated with the compressed cliques graph, including: uniqueness, forbidden subgraphs, connections to Johnson graphs, and positive zero forcing.

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Shaun Fallat, Karen Meagher, Abolghasem Soltani, Boting Yang. 2015-08-28. Compressed Cliques Graphs, Clique Coverings and Positive Zero Forcing. https://arxiv.org/abs/1508.07357

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