The Laplacian polynomial of complete multipartite graphs

Guo Peng Zhao; Li Gong Wang

The Laplacian polynomial of complete multipartite graphs

Guo Peng Zhao
, Li Gong Wang

数学与统计学院

Northwestern Polytechnical University Xian

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

The existence problem of Laplacian integral graphs is studied. Let A(G) denotes the adjacency matrix of graph G with n vertices and D(G) denotes the degree diagonal matrix of graph G. The Laplacian matrix of graph G is L(G) =D(G)-A(G). By studying the Laplacian characteristic polynomial of the complete multipartite graph K_{p1, p2⋯ pr'} it is obtained that all the complete multipartite graphs K_p1.P2⋯,Pr are Laplacian integral.

源语言	英语
页（从-至）	243-245
页数	3
期刊	Fangzhi Gaoxiao Jichukexue Xuebao
卷	24
期	2
出版状态	已出版 - 6月 2011

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链接到 Scopus 的出版物

引用此

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title = "The Laplacian polynomial of complete multipartite graphs",

abstract = "The existence problem of Laplacian integral graphs is studied. Let A(G) denotes the adjacency matrix of graph G with n vertices and D(G) denotes the degree diagonal matrix of graph G. The Laplacian matrix of graph G is L(G) =D(G)-A(G). By studying the Laplacian characteristic polynomial of the complete multipartite graph Kp1, p2⋯ pr' it is obtained that all the complete multipartite graphs Kp1.P2⋯,Pr are Laplacian integral.",

keywords = "Complete multipartite graph, Laplacian integral, Laplacian polynomial",

author = "Zhao, \{Guo Peng\} and Wang, \{Li Gong\}",

year = "2011",

month = jun,

language = "英语",

volume = "24",

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T1 - The Laplacian polynomial of complete multipartite graphs

AU - Zhao, Guo Peng

AU - Wang, Li Gong

PY - 2011/6

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N2 - The existence problem of Laplacian integral graphs is studied. Let A(G) denotes the adjacency matrix of graph G with n vertices and D(G) denotes the degree diagonal matrix of graph G. The Laplacian matrix of graph G is L(G) =D(G)-A(G). By studying the Laplacian characteristic polynomial of the complete multipartite graph Kp1, p2⋯ pr' it is obtained that all the complete multipartite graphs Kp1.P2⋯,Pr are Laplacian integral.

AB - The existence problem of Laplacian integral graphs is studied. Let A(G) denotes the adjacency matrix of graph G with n vertices and D(G) denotes the degree diagonal matrix of graph G. The Laplacian matrix of graph G is L(G) =D(G)-A(G). By studying the Laplacian characteristic polynomial of the complete multipartite graph Kp1, p2⋯ pr' it is obtained that all the complete multipartite graphs Kp1.P2⋯,Pr are Laplacian integral.

KW - Complete multipartite graph

KW - Laplacian integral

KW - Laplacian polynomial

UR - https://www.scopus.com/pages/publications/84873037880

M3 - 文章

AN - SCOPUS:84873037880

SN - 1006-8341

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JO - Fangzhi Gaoxiao Jichukexue Xuebao

JF - Fangzhi Gaoxiao Jichukexue Xuebao

IS - 2

ER -

The Laplacian polynomial of complete multipartite graphs

摘要

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