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math.CO2025
Stanley-Reisner ideals of higher independence complexes of chordal graphs
Kanoy Kumar Das, Amit Roy, Kamalesh Saha
For , the -independence complex of a graph is the collection of all such that each connected component of the induced subgraph…
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…