A note on bounds on the minimum area of convex lattice polygons

Charles J. Colbourn; R. J. Simpson

doi:10.1017/S0004972700030094

A note on bounds on the minimum area of convex lattice polygons

Charles J. Colbourn, R. J. Simpson

Research output: Contribution to journal › Article

6 Scopus citations

Abstract

The minimum area a(v) of a v–sided convex lattice polygon is known to satisfy [formula omitted]. We conjecture that a(v) = cv³ + o(v³), for c a constant; we prove that [formula omitted], and that for some positive constant c[formula omitted].

Original language	English (US)
Pages (from-to)	237-240
Number of pages	4
Journal	Bulletin of the Australian Mathematical Society
Volume	45
Issue number	2
DOIs	https://doi.org/10.1017/S0004972700030094
State	Published - Apr 1992
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1017/S0004972700030094

Fingerprint Dive into the research topics of 'A note on bounds on the minimum area of convex lattice polygons'. Together they form a unique fingerprint.

Cite this

Colbourn, C. J., & Simpson, R. J. (1992). A note on bounds on the minimum area of convex lattice polygons. Bulletin of the Australian Mathematical Society, 45(2), 237-240. https://doi.org/10.1017/S0004972700030094

@article{2d7a64963bdf41c4b98fba8ea2663b37,

title = "A note on bounds on the minimum area of convex lattice polygons",

abstract = "The minimum area a(v) of a v–sided convex lattice polygon is known to satisfy [formula omitted]. We conjecture that a(v) = cv3 + o(v3), for c a constant; we prove that [formula omitted], and that for some positive constant c[formula omitted].",

author = "Colbourn, {Charles J.} and Simpson, {R. J.}",

year = "1992",

month = apr,

doi = "10.1017/S0004972700030094",

language = "English (US)",

volume = "45",

pages = "237--240",

journal = "Bulletin of the Australian Mathematical Society",

issn = "0004-9727",

publisher = "Cambridge University Press",

number = "2",

}

TY - JOUR

T1 - A note on bounds on the minimum area of convex lattice polygons

AU - Colbourn, Charles J.

AU - Simpson, R. J.

PY - 1992/4

Y1 - 1992/4

N2 - The minimum area a(v) of a v–sided convex lattice polygon is known to satisfy [formula omitted]. We conjecture that a(v) = cv3 + o(v3), for c a constant; we prove that [formula omitted], and that for some positive constant c[formula omitted].

AB - The minimum area a(v) of a v–sided convex lattice polygon is known to satisfy [formula omitted]. We conjecture that a(v) = cv3 + o(v3), for c a constant; we prove that [formula omitted], and that for some positive constant c[formula omitted].

UR - http://www.scopus.com/inward/record.url?scp=84971790181&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84971790181&partnerID=8YFLogxK

U2 - 10.1017/S0004972700030094

DO - 10.1017/S0004972700030094

M3 - Article

AN - SCOPUS:84971790181

VL - 45

SP - 237

EP - 240

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

SN - 0004-9727

IS - 2

ER -