无穷型双圈图的零度  

The Nullity of Infinity-Type Bicyclic Graphs

作　　者：苗丰 王龙 MIAO Feng;WANG Long(School of Mathematics and Big Data,Anhui University of Science and Technology,Huainan 232001,China)

机构地区：[1]安徽理工大学数学与大数据学院,安徽淮南232001

出　　处：《牡丹江师范学院学报（自然科学版）》2023年第3期1-4,共4页Journal of Mudanjiang Normal University：Natural Sciences Edition

基　　金：中国博士后科学基金项目(2019M660148)。

摘　　要：无穷型双圈图∞(p,q,l)是通过连接两个不相交的圈C_(p)和C_(q)的一个顶点与一条路径P_(l)所得到的,其中,C_(p)和C_(q)是圈长分别为p,q的两个基本圈,路径P_(l)的长度为l-1.图的零度η(G)是指图G的邻接矩阵的0特征值的重数.本文刻画了无穷型双圈图∞(p,q,l)的零度.The infinity-type bicyclic graph co(p,q,l)is obtained from two disjointed cycles C_(p)and C_(q)by connecting one vertex of C_(p)and one vertex of C_(q)with a path P_(l),where C_(p)and C_(q)are the two basic cycles with cycle lengths of p and q respectively,and path P_(l)has a length of l-1.The nullity of G,denoted byη(G),is the multiplicity of the eigenvalue zero of the adjacency matrix of the graph G.This paper characterizes the nullity of the infinity-type bicyclic graphs.

关 键 词：零度 无穷型双圈图 匹配数 

分 类 号：O157.6[理学—数学]