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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/130/0048

    • Keywords

       

      Edge ideals; Betti numbers; regularity.

    • Abstract

       

      To every finite simple graph $G$, we associate the so-called edge ideal $I (G)$, which is a square-free quadratic monomial ideal generated by the monomials corresponding to the edges of $G$. In this paper, we determine all the initial graded Betti numbers of edge ideals of triangular graphs and alternate triangular graphs in terms of the underlying graph. We also compute the regularity of edge ideals of triangular and alternate triangular graphs.

    • Author Affiliations

       

      SHAHNAWAZ AHMAD RATHER1 PAVINDER SINGH1 ROHIT VERMA1

      1. Department of Mathematics, Central University of Jammu, Rahya-Suchani (Bagla), Samba 181 143, India

    • Dates

       
      Published
      6 August 2020
      Final version published online
      6 August 2020

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