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arXiv · 1803.01239

Krull dimension and regularity of binomial edge ideals of block graphs

Carla Mascia·Giancarlo Rinaldo
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Abstract

We give a lower bound for the Castelnuovo-Mumford regularity of binomial edge ideals of block graphs by computing the two distinguished extremal Betti numbers of a new family of block graphs, called flower graphs. Moreover, we present a linear time algorithm to compute the Castelnuovo-Mumford regularity and Krull dimension of binomial edge ideals of block graphs.

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Carla Mascia, Giancarlo Rinaldo. 2018-03-03. Krull dimension and regularity of binomial edge ideals of block graphs. https://arxiv.org/abs/1803.01239

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