(Almost) Complete Intersection Lov\'{a}sz-Saks-Schrijver ideals and regularity of their powers
Commutative Algebra
2026-02-06 v4 Combinatorics
Abstract
We discuss the property of (almost) complete intersection of LSS-ideals of graphs of some special forms, like trees, unicyclic, and bicyclic graphs. Further, we give a sufficient condition for the complete intersection property of twisted LSS-ideals in terms of a new graph theoretical invariant called twisted positive matching decomposition number denoted by tpmd.
Keywords
Cite
@article{arxiv.2305.09190,
title = {(Almost) Complete Intersection Lov\'{a}sz-Saks-Schrijver ideals and regularity of their powers},
author = {Marie Amalore Nambi and Neeraj Kumar and Chitra Venugopal},
journal= {arXiv preprint arXiv:2305.09190},
year = {2026}
}
Comments
Proposition 4.7 and Corollary 4.8 contained errors and have been removed in the revised version