The largest Laplacian and adjacency indices of complete caterpillars of fixed diameter

Authors

  • Nair Abreu Universidade Federal do Rio de Janeiro.
  • Eber Lenes Universidad del Sinu.
  • Óscar Rojo Universidad Católica del Norte.

DOI:

https://doi.org/10.4067/S0716-09172015000200006

Keywords:

Caterpillar, Laplacian matrix, Laplacian index, Adjacency matrix, Index, Spectral radius.

Abstract

A complete caterpillar is a caterpillar in which each internal vertex is a quasi-pendent vertex. In this paper, in the class of all complete caterpillars on n vertices and diameter d, the caterpillar attaining the largest Laplacian index is determined. In addition, it is proved that this caterpillar also attains the largest adjacency index.

Author Biographies

Nair Abreu, Universidade Federal do Rio de Janeiro.

Production Engineering Program, PEP/COPPE.

Eber Lenes, Universidad del Sinu.

Departamento de Investigaciones.

Óscar Rojo, Universidad Católica del Norte.

Departamento de Matématicas.

References

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How to Cite

[1]
N. Abreu, E. Lenes, and Óscar Rojo, “The largest Laplacian and adjacency indices of complete caterpillars of fixed diameter”, Proyecciones (Antofagasta, On line), vol. 34, no. 2, pp. 175-190, 1.

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Artículos