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

School of Mathematics and Statistics

Nankai University

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	128-143
Number of pages	16
Journal	Discrete Mathematics
Volume	297
Issue number	1-3
DOIs	https://doi.org/10.1016/j.disc.2005.04.007
State	Published - 28 Jul 2005

Keywords

Diameter
Diophantine equation
Integral tree

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10.1016/j.disc.2005.04.007

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title = "Integral trees with diameters 5 and 6",

abstract = "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.",

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author = "Ligong Wang and Xueliang Li",

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doi = "10.1016/j.disc.2005.04.007",

language = "英语",

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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 - http://www.scopus.com/inward/record.url?scp=23744486244&partnerID=8YFLogxK

U2 - 10.1016/j.disc.2005.04.007

DO - 10.1016/j.disc.2005.04.007

M3 - 文章

AN - SCOPUS:23744486244

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

Abstract

Keywords

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