Spectral Applications of Vertex-Clique Incidence Matrices Associated with a Graph

Using the notions of clique partitions and edge clique covers of graphs, we consider the corresponding incidence structures. This connection furnishes lower bounds on the negative eigenvalues and their multiplicities associated with the adjacency matrix, bounds on the incidence energy, and on the si...

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Bibliographic Details
Main Authors: Shaun Fallat, Seyed Ahmad Mojallal
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/16/3595