Normalized Laplacians for gain graphs

We propose the notion of normalized Laplacian matrix \(\mathcal{L}(\Phi)\) for a gain graph \(\Phi\) and study its properties in detail, providing insights and counterexamples along the way. We establish bounds for the eigenvalues of \(\mathcal{L}(\Phi)\) and characterize the classes of graphs for...

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Bibliographic Details
Main Authors: M. Rajesh Kannan, Navish Kumar, Shivaramakrishna Pragada
Format: Article
Language:English
Published: American Journal of Combinatorics 2022-01-01
Series:The American Journal of Combinatorics
Subjects:
Online Access:https://ajcombinatorics.org/ojs/index.php/AmJC/article/view/3
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