4度点数固定的树的距离谱半径  

Distance Spectral Radius of Trees with Given Number of Vertices of Degree 4

作　　者：汪云 吴宝丰[1] WANG Yun;WU Baofeng(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China)

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2017年第5期409-415,共7页Journal of University of Shanghai For Science and Technology

基　　金：国家自然科学基金资助项目(11301340);上海自然科学基金资助项目(12ZR1420300);沪江基金资助项目(B14005)

摘　　要：引入了一种图的变换,得到了距离谱半径的变化规律.进一步研究了四度点数固定的树集,刻画了该图类中距离谱半径最大的极图.最后,讨论了更一般的图类,即度至少为4的点数固定的树集,并确定了极图.A graph transformation was introduced to show the effect of the distance spectral radius.Further,the set of trees with given number of vertices of degree4was studied,characterizing the extremal graph with the largest distance spectral radius.Finally,the more general class of graphs,namely,the set of trees with given number of vertices of degree at least4was discussed,and also its extremal graph was characterized.

关 键 词：距离矩阵 距离谱半径 距离Perron向量 树 

分 类 号：O157.5[理学—数学]