Title: Krull dimension and regularity of binomial edge ideals of block graphs.
Authors: Mascia, Carla; Rinaldo, Giancarlo
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.
Subjects: BETTI numbers; BINOMIAL theorem; EDGES (Geometry)
Publication: Journal of Algebra & Its Applications, 2020, Vol 19, Issue 7, pN.PAG
ISSN: 0219-4988
Publication type: Academic Journal
DOI: 10.1142/S0219498820501339

Krull dimension and regularity of binomial edge ideals of block graphs.

Mascia, Carla; Rinaldo, Giancarlo