FINDING EXTREMAL POLYGONS.

James E. Boyce; David Paul Dobkin; Robert L.(Scot) Drysdale; Leo J. Guibas

doi:10.1137/0214011

FINDING EXTREMAL POLYGONS.

James E. Boyce, David Paul Dobkin, Robert L.(Scot) Drysdale, Leo J. Guibas

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

62 Scopus citations

Abstract

Given n points in the plane, the authors present algorithms for finding maximum perimeter or area convex k-gons with vertices k of the given n points. The algorithms work in linear space and time O(kn lg n plus n lg**2 n). for the special case k equals 3 they give O(n lg n) algorithms for these problems. Several related issues are discussed.

Original language	English (US)
Pages (from-to)	134-147
Number of pages	14
Journal	SIAM Journal on Computing
Volume	14
Issue number	1
DOIs	https://doi.org/10.1137/0214011
State	Published - Jan 1 1985
Externally published	Yes

All Science Journal Classification (ASJC) codes

Computer Science(all)
Mathematics(all)

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10.1137/0214011

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title = "FINDING EXTREMAL POLYGONS.",

abstract = "Given n points in the plane, the authors present algorithms for finding maximum perimeter or area convex k-gons with vertices k of the given n points. The algorithms work in linear space and time O(kn lg n plus n lg**2 n). for the special case k equals 3 they give O(n lg n) algorithms for these problems. Several related issues are discussed.",

author = "Boyce, {James E.} and Dobkin, {David Paul} and Drysdale, {Robert L.(Scot)} and Guibas, {Leo J.}",

year = "1985",

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AU - Dobkin, David Paul

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AU - Guibas, Leo J.

PY - 1985/1/1

Y1 - 1985/1/1

N2 - Given n points in the plane, the authors present algorithms for finding maximum perimeter or area convex k-gons with vertices k of the given n points. The algorithms work in linear space and time O(kn lg n plus n lg**2 n). for the special case k equals 3 they give O(n lg n) algorithms for these problems. Several related issues are discussed.

AB - Given n points in the plane, the authors present algorithms for finding maximum perimeter or area convex k-gons with vertices k of the given n points. The algorithms work in linear space and time O(kn lg n plus n lg**2 n). for the special case k equals 3 they give O(n lg n) algorithms for these problems. Several related issues are discussed.

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FINDING EXTREMAL POLYGONS.

Abstract

All Science Journal Classification (ASJC) codes

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