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.CO2026
Enumeration of certain subsets of uprooted trees and spherical parking functions
Nayana Shibu Deepthi, Chanchal Kumar, Gargi Lather
Spherical -parking functions are a distinguished subset of standard monomials, arising from the skeleton ideals of the -parking function ideal. Explicit enumeration formulas…
math.CO2025
Trees with extremal Laplacian eigenvalue multiplicity
Vinayak Gupta, Gargi Lather, R. Balaji
Let be a tree. Suppose is an eigenvalue of the Laplacian matrix of with multiplicity . It is known that , where is the number…