Computing a planar widest empty α-siphon in o(n3) time

Boaz Ben-Moshe; Binay K. Bhattacharya; Sandip Das; Daya R. Gaur; Qiaosheng Shi

Computing a planar widest empty α-siphon in o(n³) time

Boaz Ben-Moshe, Binay K. Bhattacharya, Sandip Das, Daya R. Gaur, Qiaosheng Shi

Department of Computer Science

Research output: Contribution to conference › Paper › peer-review

1 Scopus citations

Abstract

Given a set of n points P in the Euclidean plane, we consider the problem of locating a 1-corner polygonal chain X such that min_p∈P d(p, X) is maximized. The polygonal chain has the added property that its interior angle is α and it partitions P. In this note we present an algorithm that solves the problem in o(n³) time and space. The previous best running time for this problem was O(n³ log² n) time [2].

Original language	English
Pages	33-36
Number of pages	4
State	Published - 2007
Event	19th Annual Canadian Conference on Computational Geometry, CCCG 2007 - Ottawa, ON, Canada Duration: 20 Aug 2007 → 22 Aug 2007

Conference

Conference	19th Annual Canadian Conference on Computational Geometry, CCCG 2007
Country/Territory	Canada
City	Ottawa, ON
Period	20/08/07 → 22/08/07

Cite this

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title = "Computing a planar widest empty α-siphon in o(n3) time",

abstract = "Given a set of n points P in the Euclidean plane, we consider the problem of locating a 1-corner polygonal chain X such that minp∈P d(p, X) is maximized. The polygonal chain has the added property that its interior angle is α and it partitions P. In this note we present an algorithm that solves the problem in o(n3) time and space. The previous best running time for this problem was O(n3 log2 n) time [2].",

author = "Boaz Ben-Moshe and Bhattacharya, {Binay K.} and Sandip Das and Gaur, {Daya R.} and Qiaosheng Shi",

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note = "19th Annual Canadian Conference on Computational Geometry, CCCG 2007 ; Conference date: 20-08-2007 Through 22-08-2007",

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T1 - Computing a planar widest empty α-siphon in o(n3) time

AU - Ben-Moshe, Boaz

AU - Bhattacharya, Binay K.

AU - Das, Sandip

AU - Gaur, Daya R.

AU - Shi, Qiaosheng

PY - 2007

Y1 - 2007

N2 - Given a set of n points P in the Euclidean plane, we consider the problem of locating a 1-corner polygonal chain X such that minp∈P d(p, X) is maximized. The polygonal chain has the added property that its interior angle is α and it partitions P. In this note we present an algorithm that solves the problem in o(n3) time and space. The previous best running time for this problem was O(n3 log2 n) time [2].

AB - Given a set of n points P in the Euclidean plane, we consider the problem of locating a 1-corner polygonal chain X such that minp∈P d(p, X) is maximized. The polygonal chain has the added property that its interior angle is α and it partitions P. In this note we present an algorithm that solves the problem in o(n3) time and space. The previous best running time for this problem was O(n3 log2 n) time [2].

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T2 - 19th Annual Canadian Conference on Computational Geometry, CCCG 2007

Y2 - 20 August 2007 through 22 August 2007

ER -

Computing a planar widest empty α-siphon in o(n³) time

Abstract

Conference

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