On the minimum distance determined by n(≤ 7) points in an isoscele right triangle

Yinfeng Xu

doi:10.1007/BF02007736

On the minimum distance determined by n(≤ 7) points in an isoscele right triangle

Yinfeng Xu

School of Management

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

3 Scopus citations

Abstract

Let T denote a finite set of points in a unit isoscele right triangle (i.e., the right sides are both one), f(T) the minimum distance between pairs of points of T, and f_Δ(n)= max f(T). ∥T∥=n In this paper, the exact values of f_Δ(n) for 2≤n≤7 and the corresponding configurations are given.

Original language	English
Pages (from-to)	169-175
Number of pages	7
Journal	Acta Mathematicae Applicatae Sinica
Volume	12
Issue number	2
DOIs	https://doi.org/10.1007/BF02007736
State	Published - 1996

Keywords

Configuration
Limitation
Unit square

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10.1007/BF02007736

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title = "On the minimum distance determined by n(≤ 7) points in an isoscele right triangle",

abstract = "Let T denote a finite set of points in a unit isoscele right triangle (i.e., the right sides are both one), f(T) the minimum distance between pairs of points of T, and fΔ(n)= max f(T). ∥T∥=n In this paper, the exact values of fΔ(n) for 2≤n≤7 and the corresponding configurations are given.",

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AU - Xu, Yinfeng

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N2 - Let T denote a finite set of points in a unit isoscele right triangle (i.e., the right sides are both one), f(T) the minimum distance between pairs of points of T, and fΔ(n)= max f(T). ∥T∥=n In this paper, the exact values of fΔ(n) for 2≤n≤7 and the corresponding configurations are given.

AB - Let T denote a finite set of points in a unit isoscele right triangle (i.e., the right sides are both one), f(T) the minimum distance between pairs of points of T, and fΔ(n)= max f(T). ∥T∥=n In this paper, the exact values of fΔ(n) for 2≤n≤7 and the corresponding configurations are given.

KW - Configuration

KW - Limitation

KW - Unit square

UR - https://www.scopus.com/pages/publications/53349119504

U2 - 10.1007/BF02007736

DO - 10.1007/BF02007736

M3 - 文章

AN - SCOPUS:53349119504

SN - 0168-9673

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JO - Acta Mathematicae Applicatae Sinica

JF - Acta Mathematicae Applicatae Sinica

IS - 2

ER -

On the minimum distance determined by n(≤ 7) points in an isoscele right triangle

Abstract

Keywords

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