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arXiv · 1204.6681

On the Cartesian product of non well-covered graphs

Bert L. Hartnell·Douglas F. Rall
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Abstract

A graph is well-covered if every maximal independent set has the same cardinality, namely the vertex independence number. We answer a question of Topp and Volkmann and prove that if the Cartesian product of two graphs is well-covered, then at least one of them must be well-covered.

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Bert L. Hartnell, Douglas F. Rall. 2012-04-30. On the Cartesian product of non well-covered graphs. https://arxiv.org/abs/1204.6681

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