3 papers
math.CO2026
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…
math.AC2026
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…
math.AC2024
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…