国家自然科学基金(050460102)

作品数：5被引量：7H指数：1
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相关作者：范益政蔡改香龚世才段汉根何江宏更多>>
相关机构：安徽大学安庆师范学院安徽科技学院更多>>
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给定染色数的无符号Laplace谱半径(英文)被引量：6
《应用数学》2009年第1期161-167,共7页蔡改香 范益政 
Supported by National Natural Science Foundation of China(10601001);Anhui Provincial Natural Science Foundation(050460102 ,070412065);NSF of Depart ment of Education of Anhui Province (2005kj005zd);Foundation of Innovation Teamon Basic Mathematics of Anhui University;Foundation of Talents Group Construction of Anhui University .
设Gkn(k≥2)为n阶的染色数为k的连通图的集合.本文确定了Gnk中具有极大无符号Laplace谱半径的图,即k =2时为完全二部图,k≥3时为Turán图.本文也讨论了Gnk中的具有极小无符号Laplace谱半径的图,对k≤3的情形给出了此类图的刻画.
关键词：图 染色数 无符号Laplace谱半径 
单圈混合图的极大谱半径(英文)
《大学数学》2008年第6期17-21,共5页何江宏 范益政 
National Natural Science Foundation of China(10601001);Anhui Provincial Natural Science Foundation(050460102);NSF of Depart ment of Education of Anhui Province(2004kj027,2005kj005zd);Foundation of Mathematical Innovation Teamof Anhui University,and Foundation of Talents Group Construction of Anhui University
设U*为一个未定向的n个顶点上的单圈混合图,它是由一个三角形在其某个顶点上附加n-3个悬挂边而获得.在文[Largest eigenvalue of a unicyclic mixed graph,Applied Mathematics A Journal of Chinese Universities(Ser.B),2004,19(2):14...
关键词：混合图 单圈图 LAPLACE谱半径 PERRON向量 
On Edge Singularity and Eigenvectors of Mixed Graphs
《Acta Mathematica Sinica,English Series》2008年第1期139-146,共8页Ying Ying TAN Yi Zheng FAN 
National Natural Science Foundation of China (10601001);Anhui Provincial Natural Science Foundation (050460102);NSF of Department of Education of Anhui province (2004kj027,2005kj005zd);Foundation of Anhui Institute of Architecture and Industry (200510307);Foundation of Innovation Team on Basic Mathematics of Anhui University;Foundation of Talents Group Construction of Anhui University
Let G be a mixed glaph which is obtained from an undirected graph by orienting some of its edges. The eigenvalues and eigenvectors of G are, respectively, defined to be those of the Laplacian matrix L（G） of G. As L...
关键词：mixed graphs edge singularity Laplacian eigenvectors 
ON GRAPHS WITH THREE DISTINCT LAPLACIAN EIGENVALUES被引量：1
《Applied Mathematics(A Journal of Chinese Universities)》2007年第4期478-484,共7页Wang Yi Fan Yizheng Tan Yingying 
Supported by the Anhui Provincial Natural Science Foundation(050460102);National Natural Science Foundation of China(10601001,10571163);NSF of Department of Education of Anhui Province(2004kj027,2005kj005zd);Foundation of Anhui Institute of Architecture and Industry(200510307);Foundation of Mathematics Innovation Team of Anhui University;Foundation of Talents Group Construction of Anhui University
In this paper, an equivalent condition of a graph G with t （2≤ t ≤n） distinct Laplacian eigenvalues is established. By applying this condition to t = 3, if G is regular （necessarily be strongly regular）, an equi...
关键词：Laplacian matrix SPECTRUM Laplacian integral strongly regular graph. 
混和图的特征值分布(英文)
《数学研究》2006年第2期124-128,共5页龚世才 段汉根 范益政 
SupportedbyAnhuiProvincialNaturalScienceFoundation(050460102);CNSF(10571163,30570431),NSFofDepartmentofEducationofAnhuiprovince(2004kj027,2005kj005zd);FundofInnovationforgraduatesofAnhuiUniversity,FoundationofInnovationTeamonBasicMathematicsofAnhuiUniversity,FoundationofTalentsGroupConstructionofAnhuiUniversity,ExcellentYouthScienceandTechnologyFoundationofAnhuiProvinceofChina(06042088);andyouthfoundationofAnhuiUniversityofScienceandTechnologyofChina(2005(27)).
建立了混和图的特征值与匹配数、直径以及拟悬挂点数的关系,推广了简单图上若干关于特征值分布的结论.
关键词：混和图 特征值 匹配数 拟悬挂点 
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