Cohen-Macaulayness of triangular graphs

Hernan de Alba; Walter Carballosa; Daniel Duarte; Luis Manuel Rivera

Cohen-Macaulayness of triangular graphs

Commutative Algebra 2016-01-20 v1 Combinatorics

Authors: Hernan de Alba , Walter Carballosa , Daniel Duarte , Luis Manuel Rivera

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.

Cite

@article{arxiv.1601.05016,
  title  = {Cohen-Macaulayness of triangular graphs},
  author = {Hernan de Alba and Walter Carballosa and Daniel Duarte and Luis Manuel Rivera},
  journal= {arXiv preprint arXiv:1601.05016},
  year   = {2016}
}

Comments

10 pages, 2 figures

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