On the binomial edge ideals of block graphs

We find a class of block graphs whose binomial edge ideals have minimal regularity. As a consequence, we characterize the trees whose binomial edge ideals have minimal regularity. Also, we show that the binomial edge ideal of a block graph has the same depth as its initial ideal.

Bibliographic Details
Main Authors: Chaudhry Faryal, Dokuyucu Ahmet, Irfan Rida
Format: Article
Language:English
Published: Sciendo 2016-06-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
Online Access:https://doi.org/10.1515/auom-2016-0033