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math.AC2024★ 1 cited
Square-free powers of Cohen-Macaulay forests, cycles, and whiskered cycles
Kanoy Kumar Das, Amit Roy, Kamalesh Saha
Let denote the square-free power of the edge ideal of a graph . In this article, we provide a precise formula for the depth of when …
math.CO2024★ 1 cited
On the path ideals of chordal graphs
Kanoy Kumar Das, Amit Roy, Kamalesh Saha
In this article, we give combinatorial formulas for the regularity and the projective dimension of -path ideals of chordal graphs, extending the well-known formulas for the edge…