On the interpoint distance sum inequality

Yong Xia; Hong Ying Liu

On the interpoint distance sum inequality

Yong Xia^*
, Hong Ying Liu

^*此作品的通讯作者

数学科学学院

LMIB of The Ministry Of Education

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

Let n points be arbitrarily placed in B(D), a disk in R² having diameter D. Denote by l_ij the Euclidean distance between point i and j. We then extend the result to R³.

源语言	英语
页（从-至）	1-10
页数	10
期刊	Journal of Inequalities in Pure and Applied Mathematics
卷	10
期	3
出版状态	已出版 - 2009

其它文件与链接

链接到 Scopus 的出版物

引用此

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title = "On the interpoint distance sum inequality",

abstract = "Let n points be arbitrarily placed in B(D), a disk in R2 having diameter D. Denote by lij the Euclidean distance between point i and j. We then extend the result to R3.",

keywords = "Combinatorial geometry, Distance geometry, Interpoint distance sum inequality, Optimization",

author = "Yong Xia and Liu, \{Hong Ying\}",

year = "2009",

language = "英语",

volume = "10",

pages = "1--10",

journal = "Journal of Inequalities in Pure and Applied Mathematics",

issn = "1443-5756",

publisher = "Victoria University of Technology",

number = "3",

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T1 - On the interpoint distance sum inequality

AU - Xia, Yong

AU - Liu, Hong Ying

PY - 2009

Y1 - 2009

N2 - Let n points be arbitrarily placed in B(D), a disk in R2 having diameter D. Denote by lij the Euclidean distance between point i and j. We then extend the result to R3.

AB - Let n points be arbitrarily placed in B(D), a disk in R2 having diameter D. Denote by lij the Euclidean distance between point i and j. We then extend the result to R3.

KW - Combinatorial geometry

KW - Distance geometry

KW - Interpoint distance sum inequality

KW - Optimization

UR - https://www.scopus.com/pages/publications/76649139165

M3 - 文章

AN - SCOPUS:76649139165

SN - 1443-5756

VL - 10

SP - 1

EP - 10

JO - Journal of Inequalities in Pure and Applied Mathematics

JF - Journal of Inequalities in Pure and Applied Mathematics

IS - 3

ER -

On the interpoint distance sum inequality

摘要

其它文件与链接

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引用此