The sum of distances between vertices of a convex polygon with unit perimeter

被引：4

作者：

Larcher, Gerhard ^{[1
]}

Pillichshammer, Friedrich ^{[1
]}

机构：

[1] Univ Linz, Inst Finanzmath, A-4040 Linz, Austria

来源：

AMERICAN MATHEMATICAL MONTHLY | 2008年 / 115卷 / 04期

关键词：

D O I：

10.1080/00029890.2008.11920535

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：350 / 355

页数：6

共 50 条

[1] A LOWER BOUND ON THE NUMBER OF UNIT DISTANCES BETWEEN THE VERTICES OF A CONVEX POLYGON
EDELSBRUNNER, H
HAJNAL, P
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 1991, 56 (02) : 312 - 316
[2] On unit distances in a convex polygon
Aggarwal, Amol
[J]. DISCRETE MATHEMATICS, 2015, 338 (03) : 88 - 92
[3] THE PERIMETER CENTROID OF A CONVEX POLYGON
KAISER, MJ
[J]. APPLIED MATHEMATICS LETTERS, 1993, 6 (03) : 17 - 19
[4] APPROXIMATING VERTICES OF A CONVEX POLYGON WITH GRID POINTS IN THE POLYGON
LEE, HS
CHANG, RC
[J]. LECTURE NOTES IN COMPUTER SCIENCE, 1992, 650 : 269 - 278
[5] The small hexagon and heptagon with maximum sum of distances between vertices
Audet, Charles
Guillou, Anthony
Hansen, Pierre
Messine, Frederic
Perron, Sylvain
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2011, 49 (03) : 467 - 480
[6] The small hexagon and heptagon with maximum sum of distances between vertices
Charles Audet
Anthony Guillou
Pierre Hansen
Frédéric Messine
Sylvain Perron
[J]. Journal of Global Optimization, 2011, 49 : 467 - 480
[7] On the minimum perimeter triangle enclosing a convex polygon
Bhattacharya, B
Mukhopadhyay, A
[J]. DISCRETE AND COMPUTATIONAL GEOMETRY, 2002, 2866 : 84 - 96
[8] CONVEX HULLS OF VERTICES OF A POLYGON OF ORDER N
DERRY, D
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (03): : 544 - &
[9] COVERING A CONVEX POLYGON BY TRIANGLES WITH FIXED VERTICES
BOGOMOLNAYA, AV
NAZAROV, FL
RUKSHIN, SE
[J]. MATHEMATICAL NOTES, 1988, 44 (1-2) : 586 - 588
[10] EVERY CONVEX POLYGON WITH RATIONAL VERTICES IS A ROTATION SET
KWAPISZ, J
[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1992, 12 : 333 - 339

← 1 2 3 4 5 →