FINDING EXTREMAL POLYGONS.

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

doi:10.1137/0214011

FINDING EXTREMAL POLYGONS.

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

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

65 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 - 1985

All Science Journal Classification (ASJC) codes

General Computer Science
General Mathematics

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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 P.} and Drysdale, {Robert L.(Scot)} and Guibas, {Leo J.}",

year = "1985",

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language = "English (US)",

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publisher = "Society for Industrial and Applied Mathematics Publications",

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AU - Boyce, James E.

AU - Dobkin, David P.

AU - Drysdale, Robert L.(Scot)

AU - Guibas, Leo J.

PY - 1985

Y1 - 1985

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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