Note on the product of the largest and the smallest eigenvalue of a graph

In this note, we use eigenvalue interlacing to derive an inequality between a graph’s maximum degree and its maximum and minimum adjacency eigenvalues. The equality case is fully characterized.

Bibliographic Details
Main Authors: Abiad Aida, Dalfó Cristina, Fiol Miquel Àngel
Format: Article
Language:English
Published: De Gruyter 2024-06-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.1515/spma-2024-0008