On Betti numbers in the linear strand and regularity of triangular graphs
SHAHNAWAZ AHMAD RATHER PAVINDER SINGH ROHIT VERMA
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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.
SHAHNAWAZ AHMAD RATHER1 PAVINDER SINGH1 ROHIT VERMA1
Volume 130, 2020
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