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arXiv · 1807.05755

2-dimensional vertex decomposable circulant graphs

Francesco Romeo·Giancarlo Rinaldo
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Abstract

Let $G$ be the circulant graph $C_n(S)$ with $S\subseteq\{ 1,\ldots,\left \lfloor\frac{n}{2}\right \rfloor\}$ and let $Δ$ be its independence complex. We describe the well-covered circulant graphs with 2-dimensional $Δ$ and construct an infinite family of vertex-decomposable circulant graphs within this family.

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Francesco Romeo, Giancarlo Rinaldo. 2018-07-16. 2-dimensional vertex decomposable circulant graphs. https://arxiv.org/abs/1807.05755

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