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Open Accesshttps://doi.org/10.1016/j.ejc.2016.08.004
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Cite Journal: European Journal of Combinatorics |  Publication Date: Aug 27, 2016 |
 Citations: 6 |  License type: publisher-specific-oa |
Affiliation: Kwansei Gakuin University, Osaka University
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.
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