Approximating minimum-cost polygonal paths of bounded number of links in weighted subdivisions

Ovidiu Daescu; Joseph S.B. Mitchell; Simeon Ntafos; James D. Palmer; Chee K. Yap

doi:10.1145/1137856.1137930

Approximating minimum-cost polygonal paths of bounded number of links in weighted subdivisions

Ovidiu Daescu
, Joseph S.B. Mitchell
, Simeon Ntafos
, James D. Palmer
, Chee K. Yap

Applied Mathematics and Statistics

University of Texas at Dallas
New York University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

This video illustrates the k-LinkSolver software for computing k-link shortest paths in weighted regions. The k-LinkSolver implements methods to find paths of length at most (1 + ε) times the length of a shortest k-link path, for any fixed ε > 0, and having at most 2k - 1 links. The methods implemented are an improvement over the previously known (1 + ε)-approximation algorithms, which guarantee at most 5k - 2 links.

Original language	English
Title of host publication	Proceedings of the Twenty-Second Annual Symposium on Computational Geometry 2006, SCG'06
Publisher	Association for Computing Machinery (ACM)
Pages	483-484
Number of pages	2
ISBN (Print)	1595933409, 9781595933409
DOIs	https://doi.org/10.1145/1137856.1137930
State	Published - 2006
Event	22nd Annual Symposium on Computational Geometry 2006, SCG'06 - Sedona, AZ, United States Duration: Jun 5 2006 → Jun 7 2006

Publication series

Name	Proceedings of the Annual Symposium on Computational Geometry
Volume	2006

Conference

Conference	22nd Annual Symposium on Computational Geometry 2006, SCG'06
Country/Territory	United States
City	Sedona, AZ
Period	06/5/06 → 06/7/06

Keywords

Algorithms
Experimentation

Access to Document

10.1145/1137856.1137930

Cite this

Daescu, O., Mitchell, J. S. B., Ntafos, S., Palmer, J. D., & Yap, C. K. (2006). Approximating minimum-cost polygonal paths of bounded number of links in weighted subdivisions. In Proceedings of the Twenty-Second Annual Symposium on Computational Geometry 2006, SCG'06 (pp. 483-484). (Proceedings of the Annual Symposium on Computational Geometry; Vol. 2006). Association for Computing Machinery (ACM). https://doi.org/10.1145/1137856.1137930

Daescu, Ovidiu ; Mitchell, Joseph S.B. ; Ntafos, Simeon et al. / Approximating minimum-cost polygonal paths of bounded number of links in weighted subdivisions. Proceedings of the Twenty-Second Annual Symposium on Computational Geometry 2006, SCG'06. Association for Computing Machinery (ACM), 2006. pp. 483-484 (Proceedings of the Annual Symposium on Computational Geometry).

@inproceedings{86767aaa20094319bd52a7c0b1574e2e,

title = "Approximating minimum-cost polygonal paths of bounded number of links in weighted subdivisions",

abstract = "This video illustrates the k-LinkSolver software for computing k-link shortest paths in weighted regions. The k-LinkSolver implements methods to find paths of length at most (1 + ε) times the length of a shortest k-link path, for any fixed ε > 0, and having at most 2k - 1 links. The methods implemented are an improvement over the previously known (1 + ε)-approximation algorithms, which guarantee at most 5k - 2 links.",

keywords = "Algorithms, Experimentation",

author = "Ovidiu Daescu and Mitchell, \{Joseph S.B.\} and Simeon Ntafos and Palmer, \{James D.\} and Yap, \{Chee K.\}",

year = "2006",

doi = "10.1145/1137856.1137930",

language = "English",

isbn = "1595933409",

series = "Proceedings of the Annual Symposium on Computational Geometry",

publisher = "Association for Computing Machinery (ACM)",

pages = "483--484",

booktitle = "Proceedings of the Twenty-Second Annual Symposium on Computational Geometry 2006, SCG'06",

note = "22nd Annual Symposium on Computational Geometry 2006, SCG'06 ; Conference date: 05-06-2006 Through 07-06-2006",

}

Daescu, O, Mitchell, JSB, Ntafos, S, Palmer, JD & Yap, CK 2006, Approximating minimum-cost polygonal paths of bounded number of links in weighted subdivisions. in Proceedings of the Twenty-Second Annual Symposium on Computational Geometry 2006, SCG'06. Proceedings of the Annual Symposium on Computational Geometry, vol. 2006, Association for Computing Machinery (ACM), pp. 483-484, 22nd Annual Symposium on Computational Geometry 2006, SCG'06, Sedona, AZ, United States, 06/5/06. https://doi.org/10.1145/1137856.1137930

Approximating minimum-cost polygonal paths of bounded number of links in weighted subdivisions. / Daescu, Ovidiu; Mitchell, Joseph S.B.; Ntafos, Simeon et al.
Proceedings of the Twenty-Second Annual Symposium on Computational Geometry 2006, SCG'06. Association for Computing Machinery (ACM), 2006. p. 483-484 (Proceedings of the Annual Symposium on Computational Geometry; Vol. 2006).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Daescu O, Mitchell JSB, Ntafos S, Palmer JD, Yap CK. Approximating minimum-cost polygonal paths of bounded number of links in weighted subdivisions. In Proceedings of the Twenty-Second Annual Symposium on Computational Geometry 2006, SCG'06. Association for Computing Machinery (ACM). 2006. p. 483-484. (Proceedings of the Annual Symposium on Computational Geometry). doi: 10.1145/1137856.1137930

Approximating minimum-cost polygonal paths of bounded number of links in weighted subdivisions

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