(Almost) Complete Intersection Lovász-Saks-Schrijver ideals and regularity of their powers

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.

Proposition 4.7 and Corollary 4.8 contained errors and have been removed in the revised version

References in corpus (6)

• Regularity of powers of quadratic sequences with applications to binomial ideals
• Powers of binomial edge ideals with quadratic Gröbner bases
• Regularity of parity binomial edge ideals
• D-Sequence Edge Binomials, and Regularity of Powers of Binomial Edge Ideals of Trees
• Hypergraph LSS-ideals and coordinate sections of symmetric tensors
• Regularity of powers of d-sequence (parity) binomial edge ideals of unicycle graphs