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...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):140-148]中,作者证明了:在相差符号同构意下,在所有n个顶点上的单圈混合图中,U*是唯一的达到最大Laplace谱半径的混合图.本文应用非负矩阵的Perron向量,给出上述结论的一个简单的证明.展开更多
基金The National Natural Science Foundation of China(11071002)the Program for NewCentury Excellent Talents in University,Key Project of Chinese Ministry of Education(210091)+5 种基金the Specialized Research Fund for the Doctoral Program of Higher Education(20103401110002)the Science andTechnological Fund of Anhui Province for Outstanding Youth(10040606Y33)the Project of Anhui Prov-ince for Excellent Young Talents in Universities(2009SQRZ017ZD)the Project of Educational Departmentof Anhui Province(KJ2010B136)the Scientific Research Fund for Fostering Distinguished Young Scholars of Anhui University(KJJQ1001)the Project for Academic Innovation Team of Anhui University(KJTD001B)
基金National Natural Science Foundation of China(10601001)Anhui Provincial Natural Science Foundation(050460102)+1 种基金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
文摘设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):140-148]中,作者证明了:在相差符号同构意下,在所有n个顶点上的单圈混合图中,U*是唯一的达到最大Laplace谱半径的混合图.本文应用非负矩阵的Perron向量,给出上述结论的一个简单的证明.
