An Upper Bound on The Largest Signless Laplacian of an Odd Unicyclic Graph

• Collao, Macarena ^[1] ; Pizarro, Pamela ^[1] ; Rojo, Oscar ^[1]
  1. [1] Universidad Católica del Norte

     Universidad Católica del Norte

     Antofagasta, Chile

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 31, Nº. 1, 2012, págs. 39-49
• Idioma: inglés
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• Resumen

  • We derive an upper bound on the largest signless Laplacian eigen­value of an odd unicyclic graph. The bound is given in terms of the largest vertex degree and the largest height of the trees obtained re­moving the edges of the unique cycle in the graph.