图的广义距离特征值  

The generalized distance eigenvalues of graphs

作　　者：卢鹏丽[1] 钟雨 LU Peng-li;ZHONG Yu(School of Computer and Communication,Lanzhou Univ.of Tech.,Lanzhou 730050,China)

机构地区：[1]兰州理工大学计算机与通信学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2022年第5期148-152,共5页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11361033,11861045,62162040)。

摘　　要：图G的广义距离矩阵定义为D_(α)(G)=αTr(G)+(1-α)D(G),0≤α≤1,其中D(G)和Tr(G)分别表示图G的距离矩阵和传递度对角矩阵.研究了广义距离相关谱,给出了其谱半径、第二大特征值的界,及自补图的广义距离谱.The generalized distance matrix of a connected graph G is defined as D_(α)(G)=αTr(G)+(1-α)D(G),0≤α≤1,where D(G)and Tr(G)represent the distance matrix and diagonal matrix of the transmissions of G,respectively.In this paper,the generalized distance correlation spectrum is studied,with the bounds of the spectrum radius,the second largest eigenvalue,and the generalized distance spectrum of the self-complementary graph given.

关 键 词：广义距离矩阵 广义距离谱半径 自补图 

分 类 号：O157.5[理学—数学] O157.6[理学—基础数学]