The regularity of binomial edge ideals of graphs

In this paper, we study the Castelnuovo-Mumford regularity and the graded Betti numbers of the binomial edge ideals of some classes of graphs. Our special attention is devoted to a conjecture which asserts that the number of maximal cliques of a graph provides an upper bound for the regularity of it...

Full description

Bibliographic Details
Main Authors: Sara Saeedi Madani, Dariush Kiani
Format: Article
Language:English
Published: Amirkabir University of Technology 2020-09-01
Series:AUT Journal of Mathematics and Computing
Subjects:
Online Access:https://ajmc.aut.ac.ir/article_3929_b83d4acf2f2cd01f5b330abd203696c6.pdf