Let G be a bipartite graph and let (A) over bar (G) be the fiber cone of the Alexander dual of the edge ideal. We show that when (A) over bar (G) is a domain then (A) over bar (G) is Koszul. We also give new characterizations of unmixed and Cohen-Macaulay bipartite graphs.
机构:
East Tennessee State Univ, Dept Math & Stat, Johnson City, TN 37614 USA
Univ Johannesburg, Dept Math & Appl Math, ZA-2006 Auckland Pk, South AfricaEast Tennessee State Univ, Dept Math & Stat, Johnson City, TN 37614 USA
Haynes, Teresa W.
Hedetniemi, Stephen T.
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Clemson Univ, Sch Comp, Clemson, SC 29634 USAEast Tennessee State Univ, Dept Math & Stat, Johnson City, TN 37614 USA