The (signless) Laplacian spectral radius of unicyclic and bicyclic graphs with $n$ vertices and $k$ pendant vertices

Title:

The (signless) Laplacian spectral radius of unicyclic and bicyclic graphs with $n$ vertices and $k$ pendant vertices

Creator:

Liu, Muhuo, Tan, Xuezhong, and Liu, Bolian

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:c67a3760-d82b-46c0-a0e7-98f222705952
uuid:c67a3760-d82b-46c0-a0e7-98f222705952

Subject:

Laplacian matrix, signless Laplacian matrix, and spectral radius

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper, the effects on the signless Laplacian spectral radius of a graph are studied when some operations, such as edge moving, edge subdividing, are applied to the graph. Moreover, the largest signless Laplacian spectral radius among the all unicyclic graphs with $n$ vertices and $k$ pendant vertices is identified. Furthermore, we determine the graphs with the largest Laplacian spectral radii among the all unicyclic graphs and bicyclic graphs with $n$ vertices and $k$ pendant vertices, respectively.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

849-867

Source:

Czechoslovak Mathematical Journal | 2010 Volume:60 | Number:3

Harvested from:

CDK

Metadata only:

false