The spectral radius of unicyclic and bicyclic graphs with n vertices and k pendant vertices
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چکیده
منابع مشابه
The spectral radius of unicyclic and bicyclic graphs with n vertices and k pendant vertices
In this paper, we determine graphs with the largest spectral radius among all the unicyclic and all the bicyclic graphs with n vertices and k pendant vertices, respectively. © 2005 Elsevier Inc. All rights reserved. AMS classification: 05C50
متن کاملThe Signless Laplacian Spectral Radius for Bicyclic Graphs with k Pendant Vertices
In this paper, we study the signless Laplacian spectral radius of bicyclic graphs with given number of pendant vertices and characterize the extremal graphs.
متن کاملThe (signless) Laplacian spectral radii of c-cyclic graphs with n vertices and k pendant vertices
A connected graph is called a c-cyclic graph if it contains n vertices and n + c − 1 edges. Let C(n, k, c) denote the class of connected c-cyclic graphs with n vertices and k pendant vertices. Recently, the unique extremal graph, which has greatest (respectively, signless) Laplacian spectral radius, in C(n, k, c) has been determined for 0 ≤ c ≤ 3, k ≥ 1 and n ≥ 2c + k + 1. In this paper, the un...
متن کاملThe spectral radius of tricyclic graphs with n vertices and k pendent vertices
In this paper, we determine graphs with the largest spectral radius among all the tricyclic graphs with n vertices and k pendent vertices. © 2008 Elsevier Inc. All rights reserved. AMS classification: 05C50; 05C35
متن کاملOn the spectral radius of bicyclic graphs with n vertices and diameter d
Bicyclic graphs are connected graphs in which the number of edges equals the number of vertices plus one. In this paper we determine the graph with the largest spectral radius among all bicyclic graphs with n vertices and diameter d. As an application, we give first three graphs among all bicyclic graphs on n vertices, ordered according to their spectral radii in decreasing order. © 2006 Elsevi...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2005
ISSN: 0024-3795
DOI: 10.1016/j.laa.2005.05.022