Computing homotopic shortest paths efficiently

Alon Efrat; Stephen G. Kobourov; Anna Lubiw

doi:10.1007/3-540-45749-6_38

Computing homotopic shortest paths efficiently

Alon Efrat, Stephen G. Kobourov, Anna Lubiw

Computer Science

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

18 Scopus citations

Abstract

We give algorithms to find shortest paths homotopic to given disjoint paths that wind amongst n point obstacles in the plane. Our deterministic algorithm runs in time O(k log n+n√n), and the randomized version in time O(k log n + n(logn)^1+ε), where k is the input plus output sizes of the paths.

Original language	English (US)
Title of host publication	Algorithms - ESA 2002 - 10th Annual European Symposium, Proceedings
Editors	Rolf Möhring, Rajeev Raman
Publisher	Springer-Verlag
Pages	411-423
Number of pages	13
ISBN (Electronic)	3540441808, 9783540441809
DOIs	https://doi.org/10.1007/3-540-45749-6_38
State	Published - 2002
Event	10th Annual European Symposium on Algorithms, ESA 2002 - Rome, Italy Duration: Sep 17 2002 → Sep 21 2002

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	2461
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	10th Annual European Symposium on Algorithms, ESA 2002
Country/Territory	Italy
City	Rome
Period	9/17/02 → 9/21/02

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

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10.1007/3-540-45749-6_38

Cite this

Efrat, A., Kobourov, S. G., & Lubiw, A. (2002). Computing homotopic shortest paths efficiently. In R. Möhring, & R. Raman (Eds.), Algorithms - ESA 2002 - 10th Annual European Symposium, Proceedings (pp. 411-423). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2461). Springer-Verlag. https://doi.org/10.1007/3-540-45749-6_38

Computing homotopic shortest paths efficiently. / Efrat, Alon ; Kobourov, Stephen G.; Lubiw, Anna.
Algorithms - ESA 2002 - 10th Annual European Symposium, Proceedings. ed. / Rolf Möhring; Rajeev Raman. Springer-Verlag, 2002. p. 411-423 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2461).

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

Efrat, A , Kobourov, SG & Lubiw, A 2002, Computing homotopic shortest paths efficiently. in R Möhring & R Raman (eds), Algorithms - ESA 2002 - 10th Annual European Symposium, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 2461, Springer-Verlag, pp. 411-423, 10th Annual European Symposium on Algorithms, ESA 2002, Rome, Italy, 9/17/02. https://doi.org/10.1007/3-540-45749-6_38

Efrat A , Kobourov SG, Lubiw A. Computing homotopic shortest paths efficiently. In Möhring R, Raman R, editors, Algorithms - ESA 2002 - 10th Annual European Symposium, Proceedings. Springer-Verlag. 2002. p. 411-423. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/3-540-45749-6_38

Efrat, Alon ; Kobourov, Stephen G. ; Lubiw, Anna. / Computing homotopic shortest paths efficiently. Algorithms - ESA 2002 - 10th Annual European Symposium, Proceedings. editor / Rolf Möhring ; Rajeev Raman. Springer-Verlag, 2002. pp. 411-423 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Computing homotopic shortest paths efficiently

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