图的Laplace匹配多项式的整根性  

The integral root properties of the Laplacian matching polynomials

作　　者：崔海健 李小新 CUI Haijian;LI Xiaoxin(School of mathematical sciences,Anhui University,Hefei 230031,China;School of Big Data and Artificial Intelligence,Chizhou University,Chizhou 247000,China)

机构地区：[1]安徽大学数学科学学院,安徽合肥230031 [2]池州学院大数据与人工智能学院,安徽池州247000

出　　处：《池州学院学报》2024年第3期1-5,共5页Journal of Chizhou University

基　　金：安徽省高等学校质量工程项目(2022cxtd098)。

摘　　要：图的Laplace匹配多项式是结合图的匹配信息与顶点的度信息的一类新的图多项式,由Mohammadian于2020年提出。Laplace匹配多项式的根均为整数的图称为Laplace匹配整图。主要研究Laplace匹配多项式的整根性,确定了几类不包含Laplace匹配整图的图类。The Laplacian matching polynomial of a graph is a new graph polynomial,proposed by Mohammadian in 2020,contains matching information of a graph along with its degree information.A graph is called Laplacian matching integral if all roots of its Laplacian matching polynomial are integer.It is studied that some integral root properties of Laplacian matching polynomials,and identifies several graph classes which contain no Laplacian matching integral graph.

关 键 词：匹配 Laplace匹配多项式 Laplace匹配整图 

分 类 号：O157.5[理学—数学]