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给定阶和边独立数的单圈图的谱半径
  • 期刊名称：中国石油大学学报，2009，2：177-182
  • 时间：0
  • 分类：O157.5[理学—数学;理学—基础数学]
  • 作者机构：[1]中国石油大学数学与计算科学学院,山东东营257061
  • 相关基金：国家自然科学基金（10871204）;中国石油大学研究生创新基金（S2008-26）
  • 相关项目：图的拉普拉斯谱
关键词： 单圈图, 谱半径, 边独立数, unicyclic graph, spectral radius, edge independence number
中文摘要：

给出了具有固定阶和边独立数的单圈图谱半径的前3个最大值，并且得到了相应的极图。这些结论推广了许多关于单圈图谱半径的已有结论。

英文摘要：

The first three maximum values of the upper bounds of the spectral radius of unicyclic graphs given order and edge independence number and all graphs which reach the bounds were obtained, which generalize many known results.

同期刊论文项目
图的拉普拉斯谱
期刊论文 19
同项目期刊论文
On the spectral radius of weighted trees with fixed diameter and weight set
On the weighted trees with given degree sequence and positive weight set
The algebraic connectivity of graphs under perturbation
On the Laplacian spectral radius of weighted trees with a positive weight set
The smallest values of algebraic connectivity for unicyclic graphs
On the Laplacian coefficients of unicyclic graphs with prescribed matching number
双圈图按谱半径的排序
On the nullity and the matching number of unicyclic graphs
The Laplacian spectral radii of unicyclic and bicyclic graphs with n vertices and k pendant vertices
On the Distribution of Laplacian Eigenvalues of a Graph
The Orderings of Bicyclic Graphs and Connected Graphs by Algebraic Connectivity
给定直径和悬挂点数的树的拉普拉斯系数
关于树的第二个最大特征值
使图的谱半径增大的边移动新方法
On the Laplacian Spectral Radius of Trees
具有固定围长的单圈图的无号拉普拉斯谱半径
On the Largest Eigenvalue of Signless Laplacian Matrix of a Graph
Ordering Trees with Fixed Order and Matching Number by Laplacian Spectral Radius