加权图的Perron向量  

Perron Vector of Weighted Graphs

作　　者：王娜 杜智华[2] 

机构地区：[1]新疆师范高等专科学校,新疆乌鲁木齐830043 [2]新疆师范大学,新疆乌鲁木齐830043

出　　处：《兰州文理学院学报（自然科学版）》2015年第3期9-11,19,共4页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：国家自然科学基金资助(11301452);校级课题(XJJY201431)

摘　　要：设G是一个简单图,GWf=(V,E,W,f)是图G加权图.主要讨论了极大加权图Sr(u-star)的中心u、v(非叶子)、ut(叶子)的Perron向量的分量之间关系,同时还考虑了具有两个star-centers(u-star与v-star)的极大加权图G的perron向量的分量以及它们和加权映射之间的关系.Suppose G is a simple graph, Gf^W=（V,E,W,f） is considered as a weighted graph. The relationship of Perron vetors of the maximal weighted graph sr with star-center u is discussed. At the same time, it is also discussed the relationship between the reflection of the weighted graph and Perron vetors of the maximal weighted graph with two star-centers u and v.

关 键 词：谱半径 极大加权图 PERRON向量 

分 类 号：O157.5[理学—数学]