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Ars Combinatoria

  • Research article

On the Signless Laplacian Spectra of Bicyclic and Tricyclic Graphs

Muhuo Liu1,2, Bolian Liu2
1Department of Applied Mathematics, South China Agricultural University, Guangzhou, P. R. China, 510642
2School of Mathematic Science, South China Normal University, Guangzhou, P. R. China, 510631
  • Published: 30/04/2015

Abstract

In this paper, the first two (resp. four) largest signless Laplacian spectral radii together with the corresponding graphs in the class of bicyclic (resp. tricyclic) graphs of order n are determined, and the first two (resp. four) largest signless Laplacian spreads together with the corresponding graphs in the class of bicyclic (resp. tricyclic) graphs of order \(n\) are identified.

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Citation
Muhuo Liu, Bolian Liu. On the Signless Laplacian Spectra of Bicyclic and Tricyclic Graphs[J], Ars Combinatoria, Volume 120. 169-180. .