A Gröbner basis characterization for chordal comparability graphs
arXiv:1602.00285 · doi:10.1016/j.ejc.2016.08.004
Abstract
In this paper, we study toric ideals associated with multichains of posets. It is shown that the comparability graph of a poset is chordal if and only if there exists a quadratic Gröbner basis of the toric ideal of the poset. Strong perfect elimination orderings of strongly chordal graphs play an important role.
8 pages, Proposition 1.3 (normality) is added