棱锥图若干性质的研究  

Research on the properties of cone graph

作　　者：侯胜哲 HOU Sheng-zhe(School of Science,Jilin Institute Of Chemical Technology,Jilin 132022,China)

机构地区：[1]吉林化工学院,吉林吉林132022

出　　处：《青海师范大学学报（自然科学版）》2023年第4期68-74,共7页Journal of Qinghai Normal University(Natural Science Edition)

摘　　要：锥图最早是在研究广义轮图时被提出的.目前关于锥图的国内外相关文献相对较少,而锥图的构造方法十分巧妙,其模型可以用于通讯系统模型;在几何学上,也可用于高维度锥体的研究.本文主要研究了多锥图的色数、可平面性、邻接矩阵、哈密顿性和邻接矩阵特征值(谱)等基本性质.Cone graphs were firstly proposed for generalization of wheel graphs.Currently,there is relatively limited literature on cone graphs both domestically and internationally.The construction method of cone graphs is quite ingenious,and their model can be applied to communication system models.In the field of geometry,cone graphs can also be utilized for the study of high-dimensional centrum.This paper mainly studies the basic properties of cone graphs,such as chromatic number,planarity,adjacency matrix,Hamiltonian and adjacency matrix eigenvalues(spectrum).

关 键 词：锥图 色数 可平面性 邻接矩阵(谱) 哈密顿性 

分 类 号：O157.5[理学—数学]