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

• Abreu, Nair ^[1] ; Lenes, Eber ^[2] ; Rojo, Óscar
  1. [1] Universidade Federal do Rio de Janeiro

     Universidade Federal do Rio de Janeiro

     Brasil

     
  2. [2] Universidad del Sinú

     Universidad del Sinú

     Colombia

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 34, Nº. 2, 2015, págs. 175-190
• Idioma: inglés
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• Resumen

  • 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.