Integral trees with diameters 5 and 6

Ligong Wang; Xueliang Li

doi:10.1016/j.disc.2005.04.007

Integral trees with diameters 5 and 6

Ligong Wang
, Xueliang Li

数学与统计学院

Nankai University

科研成果: 期刊稿件 › 文章 › 同行评审

9 引用（Scopus）

摘要

In this paper, some new families of integral trees with diameters 5 and 6 are constructed. All these classes are infinite. These are different from those in the existing literature. We also prove that the problem of finding integral trees of diameters 5 and 6 is equivalent to the problem of solving some Diophantine equations. The discovery of these integral trees is a new contribution to the search for such trees.

源语言	英语
页（从-至）	128-143
页数	16
期刊	Discrete Mathematics
卷	297
期	1-3
DOI	https://doi.org/10.1016/j.disc.2005.04.007
出版状态	已出版 - 28 7月 2005

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10.1016/j.disc.2005.04.007

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T1 - Integral trees with diameters 5 and 6

AU - Wang, Ligong

AU - Li, Xueliang

PY - 2005/7/28

Y1 - 2005/7/28

N2 - In this paper, some new families of integral trees with diameters 5 and 6 are constructed. All these classes are infinite. These are different from those in the existing literature. We also prove that the problem of finding integral trees of diameters 5 and 6 is equivalent to the problem of solving some Diophantine equations. The discovery of these integral trees is a new contribution to the search for such trees.

AB - In this paper, some new families of integral trees with diameters 5 and 6 are constructed. All these classes are infinite. These are different from those in the existing literature. We also prove that the problem of finding integral trees of diameters 5 and 6 is equivalent to the problem of solving some Diophantine equations. The discovery of these integral trees is a new contribution to the search for such trees.

KW - Diameter

KW - Diophantine equation

KW - Integral tree

UR - https://www.scopus.com/pages/publications/23744486244

U2 - 10.1016/j.disc.2005.04.007

DO - 10.1016/j.disc.2005.04.007

M3 - 文章

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SN - 0012-365X

VL - 297

SP - 128

EP - 143

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1-3

ER -

Integral trees with diameters 5 and 6

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