On the binomial edge ideals of block graphs

Faryal Chaudhry,Ahmet Dokuyucu,Rida Irfan

Published 2014 in Analele Universitatii "Ovidius" Constanta - Seria Matematica

ABSTRACT

Abstract 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.

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