On the interpoint distance sum inequality

Yong Xia; Hong Ying Liu

On the interpoint distance sum inequality

Yong Xia^*
, Hong Ying Liu

^*Corresponding author for this work

School of Mathematical Sciences

LMIB of The Ministry Of Education

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

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Journal of Inequalities in Pure and Applied Mathematics
Volume	10
Issue number	3
State	Published - 2009

Keywords

Combinatorial geometry
Distance geometry
Interpoint distance sum inequality
Optimization

Cite this

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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",

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

Abstract

Keywords

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