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arXiv · 1408.2593

Graphs with minimal well-covered dimension

Gabriella Clemente
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Abstract

There is a class of graphs with well-covered dimension equal to the simplicial clique number that contains all chordal graphs and infinitely many other graphs. These graphs generalize a result by Brown and Nowakowski on the well-covered dimension of chordal graphs. Furthermore, each member of the infinite family of Sierpinski gasket graphs of order at least $2$ has well-covered dimension $3,$ the simplicial clique number.

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Gabriella Clemente. 2014-11-23. Graphs with minimal well-covered dimension. https://arxiv.org/abs/1408.2593

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