On singularity and properties of eigenvectors of complex Laplacian matrix of multidigraphs

AbstractIn this article, we associate a Hermitian matrix to a multidigraph G. We call it the complex Laplacian matrix of G and denote it by [Formula: see text]. It is shown that the complex Laplacian matrix is a generalization of the Laplacian matrix of a graph. But, unlike the Laplacian matrix of a...

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Bibliographic Details
Main Authors: Sasmita Barik, Sane Umesh Reddy, Gopinath Sahoo
Format: Article
Language:English
Published: Taylor & Francis Group 2023-05-01
Series:AKCE International Journal of Graphs and Combinatorics
Subjects:
Online Access:https://www.tandfonline.com/doi/10.1080/09728600.2023.2234014