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Krull dimension and regularity of binomial edge ideals of block graphs

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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… Click to show full 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 linear time algorithms to compute the Castelnuovo–Mumford regularity and the Krull dimension of binomial edge ideals of block graphs.

Keywords: edge ideals; ideals block; block graphs; regularity; binomial edge

Journal Title: Journal of Algebra and Its Applications
Year Published: 2019

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