1 citations · 2 across the 5 of their papers we have counts for
6 papers
Spectral properties of the resistance Laplacian with applications to data clustering and anomaly detection
Priyavrat Deshpande, Gargi Lather
The resistance Laplacian is a graph matrix associated with the effective resistance metric and provides a global counterpart of the classical graph Laplacian. Although it inherits…
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…
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…
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 of…
Standard Monomials of 1-Skeleton Ideals of Graphs and Their Signless Laplace Matrices
Chanchal Kumar, Gargi Lather, Amit Roy
Let be a (multi) graph on the vertex set with root . The -parking function ideal is a monomial ideal in the polynomial ring $R=\math…
Skeleton Ideals of Certain Graphs, Standard Monomials and Spherical Parking Functions
Chanchal Kumar, Gargi Lather, Sonica
Let be an (oriented) graph on the vertex set with root . Postnikov and Shapiro associated a monomial ideal in the polynomial ring $…