English

Cohen-Macaulay weighted chordal graphs

Commutative Algebra 2023-09-06 v1 Combinatorics

Abstract

In this paper I give a combinatorial characterization of all the Cohen-Macaulay weighted chordal graphs. In particular, it is shown that a weighted chordal graph is Cohen- Macaulay if and only if it is unmixed.

Cite

@article{arxiv.2309.02414,
  title  = {Cohen-Macaulay weighted chordal graphs},
  author = {Shuai Wei},
  journal= {arXiv preprint arXiv:2309.02414},
  year   = {2023}
}
R2 v1 2026-06-28T12:13:25.036Z