Article ID Journal Published Year Pages File Type
4653200 European Journal of Combinatorics 2017 7 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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