1 citations · 2 across the 6 of their papers we have counts for
6 papers
Multiplicity of negative one of independence polynomials of graphs
Om Prakash Bhardwaj, Trung Chau, Sayeed Ikram +3
We initiate the study of the multiplicity of negative one of independence polynomials of graphs. In this article, we simply refer to this as the \emph{multiplicity} of a graph. As…
Free Resolutions of Symmetric Algebras of Ideals with Deviation Two
Neeraj Kumar, Aniruddha Saha, Chitra Venugopal
For a graded ideal I in a graded ring, the deviation of I is defined as the difference between the minimal number of generators of I and its grade. In this article, we provide bigr…
Almost Complete Intersections: Regularity of powers and Rees algebra
Neeraj Kumar, Chitra Venugopal
An almost complete intersection ideal can be seen as a -sequence ideal with the minimal number of generators being one more than its height. In this paper, we give exact formula…
(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…
Some classes of sequences of Linear Type
Neeraj Kumar, Chitra Venugopal
Given a graded ring and a homogeneous ideal , the ideal is said to be of linear type if the Rees algebra of is isomorphic to the symmetric algebra of . In general, $y…
Rees algebra of maximal order Pfaffians and its diagonal subalgebras
Neeraj Kumar, Chitra Venugopal
Given a skew-symmetric matrix , the Pfaffian of is defined as the square root of the determinant of . In this article, we give the explicit defining equations of the Rees…