图谱确定问题综述  

A survey on spectral characterizations of graphs

作　　者：王卫 WANG Wei(School of Mathematics and Statistics,Xi an Jiaotong University,Xi an 710049,China)

机构地区：[1]西安交通大学数学与统计学院,陕西西安710049

出　　处：《广州大学学报（自然科学版）》2019年第5期21-26,33,共7页Journal of Guangzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目(11971376)。

摘　　要：图谱确定问题是图谱理论研究中的一个基本问题,近年来吸引了众多研究者的关注.文章主要对近年来这一领域的研究做一总结回顾,并指出当前尚未解决的若干问题,希望起到抛砖引玉的作用.“Which graphs are determined by their spectra?”is a fundamental question in spectral graph theory.The problem has received a lot of attention from researchers in recent years.The main purpose of this paper is to give a review of the developments on this topic in the past decade and highlight some unsolved questions in this area,and to stimulate more researches.

关 键 词：图谱 同谱图 谱确定 

分 类 号：O157.5[理学—数学]