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 › peer-review

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)

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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].",

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