A Gröbner basis characterization for chordal comparability graphs

Published 31 Jan 2016 in math.CO and math.AC | (1602.00285v2)

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 Gr\"obner basis of the toric ideal of the poset. Strong perfect elimination orderings of strongly chordal graphs play an important role.

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