摘要
利用行列式的性质,首先基于图G的Randic矩阵的特征多项式给出规范化Laplace和规范化无符号Laplace特征多项式;其次,借助导出子图的特征多项式表示出Randic矩阵以及规范化Laplace和规范化无符号Laplace矩阵的特征多项式;最后,给出图G的Middle图的特征多项式.
Using the properties of determinant,firstly,we gave the normalized Laplacian and normalized signless Laplacian characteristic polynomials based on the characteristic polynomial of the Randic matrix of a graph G.Secondly,we gave the characteristic polynomials of Randic matrix,normalized Laplacian matrix and normalized signless Laplacian matrix by means of the characteristic polynomials of the induced subgraphs.Finally,we gave the characteristic polynomial of the Middle graph of a graph G.
作者
陈丹丹
马小玲
CHEN Dandan;MA Xiaoling(College of Mathematics and System Science,Xinjiang University,Urumqi 830046,China)
出处
《吉林大学学报(理学版)》
CAS
北大核心
2022年第5期1078-1084,共7页
Journal of Jilin University:Science Edition
基金
新疆维吾尔自治区自然科学基金面上项目(批准号:2021D01C069)
新疆维吾尔自治区优秀青年科技人才项目(批准号:2019Q016)。