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arXiv · 1601.05016

Cohen-Macaulayness of triangular graphs

Hernan de Alba·Walter Carballosa·Daniel Duarte·Luis Manuel Rivera
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Abstract

We study the Cohen-Macaulay property of triangular graphs $T_n$. We show that $T_2$, $T_3$ and $T_5$ are Cohen-Macaulay graphs, and that $T_4$, $T_6$, $T_8$ and $T_n$ are not Cohen-Macaulay graphs, for $n\geq 10$. Finally, we prove that over fields of characteristic zero $T_7$ and $T_9$ are Cohen-Macaulay.

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Hernan de Alba, Walter Carballosa, Daniel Duarte, Luis Manuel Rivera. 2016-01-19. Cohen-Macaulayness of triangular graphs. https://arxiv.org/abs/1601.05016

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