1. On the multiplicities of distance Laplacian eigenvalues.
- Author
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Fernandes, Rosário, de Freitas, Maria A. A., Silva Jr., Celso M. da, and Del-Vecchio, Renata R.
- Subjects
LAPLACIAN matrices ,MULTIPLICITY (Mathematics) ,EIGENVALUES ,SUBGRAPHS - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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