3 citations · 3 across the 6 of their papers we have counts for
6 papers
Squarefree powers of closed neighborhood ideals
Marie Amalore Nambi, Ayesha Asloob Qureshi
In this article, we characterize all trees whose highest non-vanishing squarefree power of the closed neighborhood ideal is componentwise linear. In addition, we investigate the Ca…
Ideals generated by corner-interval minors
Marie Amalore Nambi
In this article, we study binomial ideals generated by an arbitrary collection of corner-interval -minors of a generic matrix. We determine the minimal prime ideals of such idea…
On Conjecture of Binomial Edge Ideals of Linear Type
Marie Amalore Nambi, Neeraj Kumar
An ideal of a commutative ring is said to be of linear type when its Rees algebra and symmetric algebra exhibit isomorphism. In this paper, we investigate the conjecture pu…
On Positive Matching Decomposition Conjectures of Hypergraphs
Marie Amalore Nambi, Neeraj Kumar
In this paper, we prove the conjectures of Gharakhloo and Welker (2023) that the positive matching decomposition number (pmd) of a -uniform hypergraph is bounded from above by a…
(Almost) Complete Intersection Lovász-Saks-Schrijver ideals and regularity of their powers
Marie Amalore Nambi, Neeraj Kumar, Chitra Venugopal
We discuss the property of (almost) complete intersection of LSS-ideals of graphs of some special forms, like trees, unicyclic, and bicyclic graphs. Further, we give a sufficient c…
D-Sequence Edge Binomials, and Regularity of Powers of Binomial Edge Ideals of Trees
Marie Amalore Nambi, Neeraj Kumar
We provide the necessary and sufficient conditions for the edge-binomials of the tree forming a -sequence in terms of the degree sequence notion of a graph. We study the regular…