Construction of integral graphs

Ligong Wang; Xueliang Li; Shenggui Zhang

doi:10.1007/s11766-000-0046-z

Construction of integral graphs

Ligong Wang
, Xueliang Li
, Shenggui Zhang

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

12 引用（Scopus）

摘要

In this paper, some new classes of integral graphs are given in two new ways. It is proved that the problem of finding such integral graphs is equivalent to the problem of solving diophantine equations. Some classes are infinite. The discovery of these classes is a new contribution to the search of such integral graphs.

源语言	英语
页（从-至）	239-246
页数	8
期刊	Applied Mathematics
卷	15
期	3
DOI	https://doi.org/10.1007/s11766-000-0046-z
出版状态	已出版 - 9月 2000

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@article{e4ff0aac01a0489abfbd08d8122ff40f,

title = "Construction of integral graphs",

abstract = "In this paper, some new classes of integral graphs are given in two new ways. It is proved that the problem of finding such integral graphs is equivalent to the problem of solving diophantine equations. Some classes are infinite. The discovery of these classes is a new contribution to the search of such integral graphs.",

keywords = "Cospectral graph, Diophantine equation, Integral graph",

author = "Ligong Wang and Xueliang Li and Shenggui Zhang",

note = "Publisher Copyright: {\textcopyright} 2000 Springer Verlag.",

year = "2000",

month = sep,

doi = "10.1007/s11766-000-0046-z",

language = "英语",

volume = "15",

pages = "239--246",

journal = "Applied Mathematics",

issn = "1005-1031",

publisher = "Springer Verlag",

number = "3",

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TY - JOUR

T1 - Construction of integral graphs

AU - Wang, Ligong

AU - Li, Xueliang

AU - Zhang, Shenggui

PY - 2000/9

Y1 - 2000/9

N2 - In this paper, some new classes of integral graphs are given in two new ways. It is proved that the problem of finding such integral graphs is equivalent to the problem of solving diophantine equations. Some classes are infinite. The discovery of these classes is a new contribution to the search of such integral graphs.

AB - In this paper, some new classes of integral graphs are given in two new ways. It is proved that the problem of finding such integral graphs is equivalent to the problem of solving diophantine equations. Some classes are infinite. The discovery of these classes is a new contribution to the search of such integral graphs.

KW - Cospectral graph

KW - Diophantine equation

KW - Integral graph

UR - https://www.scopus.com/pages/publications/84978950649

U2 - 10.1007/s11766-000-0046-z

DO - 10.1007/s11766-000-0046-z

M3 - 文章

AN - SCOPUS:84978950649

SN - 1005-1031

VL - 15

SP - 239

EP - 246

JO - Applied Mathematics

JF - Applied Mathematics

IS - 3

ER -

Construction of integral graphs

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