Amit Roy

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20232025

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4 papers · 1 filter

math.AC2025

Barile-Macchia Resolutions and the closed neighborhood ideal

Ajay P. Joseph, Amit Roy, Anurag Singh

We investigate the minimal free resolutions of closed neighborhood ideals of graphs within the framework of Barile-Macchia (BM) resolutions. We show that for any tree $T$ , the clos…

math.AC2024

Castelnuovo-Mumford regularity of the closed neighborhood ideal of a graph

Shiny Chakraborty, Ajay P. Joseph, Amit Roy +1

Let $G$ be a finite simple graph and let $N I (G)$ denote the closed neighborhood ideal of $G$ in a polynomial ring $R$ . We show that if $G$ is a forest, then the Castelnuovo-Mumford…

math.AC2023

Graded Betti numbers of a hyperedge ideal associated to join of graphs

Sourav Kanti Patra, Amit Roy

Let $G$ be a finite simple graph on the vertex set $V (G)$ and let $r$ be a positive integer. We consider the hypergraph $Con_{r} (G)$ whose vertices are the vertices of $G$ a…

math.AC2023

Fröberg's Theorem, vertex splittability and higher independence complexes

Priyavrat Deshpande, Amit Roy, Anurag Singh +1

A celebrated theorem of Fröberg gives a complete combinatorial classification of quadratic square-free monomial ideals with a linear resolution. A generalization of this theorem to…