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Extremal Betti numbers of some classes of binomial edge ideals

Published 10 Oct 2013 in math.AC and math.CO | (1310.2903v1)

Abstract: Let $G$ be a cycle or a complete bipartite graph. We show that the binomial edge ideal $J_{G}$ and its initial ideal with respect to the lexicographic order have the same extremal Betti number.

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