Gorenstein binomial edge ideals
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DOI: 10.1002/mana.201900251
Abstract: We classify connected graphs G whose binomial edge ideal is Gorenstein. The proof uses methods in prime characteristic. read more here.
Keywords: binomial edge; gorenstein binomial; edge; edge ideals ... See more keywords
Binomial edge ideals and bounds for their regularity
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DOI: 10.1007/s10801-020-00939-2
Abstract: Let G be a simple graph on n vertices and $$J_G$$ denote the corresponding binomial edge ideal in $$S = K[x_1, \ldots , x_n, y_1, \ldots , y_n].$$ We prove that the Castelnuovo–Mumford regularity of… read more here.
Keywords: ideals bounds; edge; regularity binomial; binomial edge ... See more keywords
Regularity of powers of quadratic sequences with applications to binomial ideals
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DOI: 10.1016/j.jalgebra.2020.08.004
Abstract: Abstract In this article, we obtain an upper bound for the Castelnuovo-Mumford regularity of powers of an ideal generated by a homogeneous quadratic sequence in a polynomial ring in terms of the regularity of its… read more here.
Keywords: edge ideals; binomial ideals; regularity; binomial edge ... See more keywords
Krull dimension and regularity of binomial edge ideals of block graphs
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DOI: 10.1142/s0219498820501339
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,… read more here.
Keywords: edge ideals; ideals block; block graphs; regularity ... See more keywords