基于交叉点排列的几类距离正则图的谱分布  

Spectral Distribution of Several Kinds of Distance-regular Graphs Based on Intersection Array

作　　者：韩琦 寇亚欣 韩娅楠 白宁 HAN Qi;KOU Ya-xin;HAN Ya-nan;BAI Ning(School of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《数学的实践与认识》2022年第1期164-171,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金地区科学基金资助项目(11861057);甘肃省自然科学基金(20JR10RA085)。

摘　　要：基于距离正则图的交叉点排列,给出了三类距离正则图的谱分布,讨论了一维整数格Z的距离矩阵与第一类切比雪夫多项式之间的关系,体现出研究图的谱分布的量子概率技巧.In this paper,based on the intersection array of distance-regular graphs,the spectral distributions of three kinds of distance-regular graphs are given,and the relationship between the distance matrix of a one-dimensional integer lattice Z and the Chebyshev polynomials of the first kind is discussed,which shows the quantum probability technique of studying the spectral distribution of graphs.

关 键 词：距离正则图 交叉点排列 JACOBI矩阵 谱分布 距离矩阵 

分 类 号：O157.5[理学—数学]