On the multiplicities of distance Laplacian eigenvalues

Rosário Fernandes, Maria A. A. de Freitas,Celso M. da Silva Jr.,Renata R. Del-Vecchio

Comput. Appl. Math.（2023）

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摘要

In this work, connected graphs of order n and largest eigenvalue of the distance Laplacian matrix with multiplicity equal to n-4 are investigated. A complete characterization is presented if n is one of its distance Laplacian eigenvalues with multiplicity one. We also present a conjecture about forbidden subgraphs of G when the multiplicity of its largest eigenvalue is n-4, and we analyze the case where G has diameter four.

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关键词

Distance Laplacian matrix, Laplacian matrix, Multiplicity of eigenvalues

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