1 citations · 1 across the 2 of their papers we have counts for
4 papers
Projective dimension of closed neighborhood hypergraphs via extended double covers
Yusuf Civan, Anurag Singh
Let be a finite and simple graph without isolated vertices. We investigate the projective dimension of the closed neighborhood hypergraph and its relationship…
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 , the clos…
Castelnuovo-Mumford regularity of the closed neighborhood ideal of a graph
Shiny Chakraborty, Ajay P. Joseph, Amit Roy +1
Let be a finite simple graph and let denote the closed neighborhood ideal of in a polynomial ring . We show that if is a forest, then the Castelnuovo-Mumford…
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…