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