On certain closeness spectra of one-point union of complete graphs Kn

Autores

  • Rajkumar Vaishnavi SRM Institute of Science and Technology
  • Rajkumar Vaishnavi SRM Institute of Science and Technology
  • Sathish Krishnan SRM Institute of Science and Technology

DOI:

https://doi.org/10.5269/bspm.79589

Resumo

The closeness eigenvalues of a graph G are the eigenvalues of its closeness matrix. The closeness spectrum of a graph G is the set of closeness eigenvalues with their multiplicities. In this paper the closeness spectra, closeness Laplacian spectra and closeness Q-Laplacian spectra of one-point union of m copies of complete graphs on n vertices are computed.

Biografia do Autor

  • Rajkumar Vaishnavi, SRM Institute of Science and Technology

    R. Vaishnavi is a research scholar in the Department of Mathematics and Statistics, Faculty of Science and Humanities, SRM Institute of Science and Technology, Kattankulathur, India. Her research interests include spectral graph theory and distance-based graph invariants.

  • Rajkumar Vaishnavi, SRM Institute of Science and Technology

    R. Vaishnavi is a research scholar in the Department of Mathematics and Statistics, Faculty of Science and Humanities, SRM Institute of Science and Technology, Kattankulathur, India. Her research interests include spectral graph theory and distance-based graph invariants.

Referências

Mathematics Subject Classification (2020): 05C50, 05C12, 05C82
Keywords: Closeness matrix; Closeness eigenvalues; Closeness Laplacian; Closeness Q-Laplacian; Graph spectra; Spectral graph theory
Article Type: Research Article
Field: Graph Theory / Spectral Graph Theory

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Publicado

2026-06-05

Edição

v. 44 (2026): Research Articles

Seção

Artigos

Licença

Copyright (c) 2026 Boletim da Sociedade Paranaense de Matemática

Creative Commons License
Este trabalho está licenciado sob uma licença Creative Commons Attribution 4.0 International License.

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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