星图、扇图、轮图及其扩容图的性质  

Properties of Star Graph,Fan Graph,Wheel Graph and Its Expansion Graph

作　　者：李树霞[1] LI Shuxia(Center for Applied Mathematical Inner Mongolia,Key Laboratory of Infinite-Hamiltonian System and Its Algorithm Applica-tion,Ministry of Education,College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China)

机构地区：[1]内蒙古师范大学数学科学学院/无穷维哈密顿系统及其算法应用教育部重点实验室/内蒙古自治区应用数学中心,呼和浩特010022

出　　处：《内蒙古农业大学学报（自然科学版）》2023年第3期73-77,共5页Journal of Inner Mongolia Agricultural University(Natural Science Edition)

基　　金：内蒙古自治区高等学校科学研究项目(NJZY22599,NJZY22600);无穷维哈密顿系统及其算法应用教育部重点实验室开放项目(2023KFZR03)。

摘　　要：本文用代数方法证明了星图、扇图、轮图满足χ'(G∨u)=χ_(T)(G)(u∉V(G)),其次研究了其扩容图有完美匹配,最后求出了星图及其扩容图的谱。In this paper,the algebraic method was used to prove that the star graph,fan graph,and wheel graph met the requirements ofχ'(G∨u)=χ_(T)(G)(u∉V(G)),then their expansion graphs were studied,and showed they had perfect matching.Finally,the spectra of the star graphs and their expansion graphs were obtained.

关 键 词：星图 扇图 轮图 扩容图 完美匹配 谱 

分 类 号：O157.5[理学—数学]