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20202026
most citedSkeleton Ideals of Certain Graphs, Standard Monomials and Spherical Parking Functions

1 citations · 1 across the 4 of their papers we have counts for

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5 papers

math.CO2026

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…

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 of…

math.CO20201 cited

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 $…