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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…