Title of article :
The regularity of binomial edge ideals of graphs
Author/Authors :
Saeedi Madani, Sara Mathematics department - Mathematics and Computer Science faculty - Amirkabir University of Technology, Tehran, Iran , Kiani, Dariush Department of Mathematics and Computer Science - Amirkabir University of Technology
Abstract :
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 its binomial edge ideal.
Keywords :
Binomial edge ideal , Castelnuovo-Mumford regularity , Free cut edge
Journal title :
AUT Journal of Mathematics and Computing
