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math.AC2022
Cohen-Macaulay Property of Binomial Edge Ideals with Girth of Graphs
Kamalesh Saha, Indranath Sengupta
Conca and Varbaro (Invent. Math. 221 (2020), no. 3) showed the equality of depth of a graded ideal and its initial ideal in a polynomial ring when the initial ideal is square-free.…
math.AC2022
Cohen-Macaulay Binomial edge ideals in terms of blocks with whiskers
Kamalesh Saha, Indranath Sengupta
For a graph , Bolognini et al. have shown is strongly unmixed is Cohen-Macaulay is accessible, where denotes the binomial…
math.AC2022
Cohen-Macaulay Weighted Oriented Edge Ideals and its Alexander Dual
Kamalesh Saha, Indranath Sengupta
The study of the edge ideal of a weighted oriented graph with underlying graph started in the context of Reed-Muller type codes. We generalize a Cohen-Macaul…