| Polytime algorithm for the shortest path in a homotopy class amidst semi-algebraic obstacles in the plane |
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International Conference on Symbolic and Algebraic Computation
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Proceedings of the 1998 international symposium on Symbolic and algebraic computation
table of contents
Rostock, Germany
Pages: 17 - 24
Year of Publication: 1998
ISBN:1-58113-002-3
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Authors
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D. Grigoriev
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Dept. of Computer Science, Penn State University, University Park, PA
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A. Slissenko
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Dept. of Informatics, University Paris-12, 61 Av. du Gén. de Gaulle, 94010, Créteil, France
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Downloads (6 Weeks): 2, Downloads (12 Months): 14, Citation Count: 4
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REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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AM88
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M.E. Alonso and Raimondo M. The computation of the topology of a planar semialgebraic set. Rend. Sere. Mat. Univers. Politecn. TorinoF 46(3):327-342F 1988.
|
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BCR87
|
J. BochnakF M. CosteF and M.-F. Roy. Cdomdtrie algdbrique rdelle. Springer-VerlagF 1987.
|
| |
BSS89
|
L. BlumF M. SI~bF and S. Smale. On a theory of computation and complexity over real numbers: NP-completenessF recursi~ functions and universal machines. Bull. Amer. Math. Soc.F 1:1- 46F 1989.
|
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Can88
|
|
| |
CGV92
|
|
| |
CR87
|
J. Canny and J. Reif. New lower bound technique for robot motion planning problemms. In Proc. 28th Annu. IEEE Syrup. on Foundations of Comput. Sci.F pages 49-60F 1987.
|
 |
CSY94
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Joonsoo Choi , Jürgen Sellen , Chee-Keng Yap, Approximate Euclidean shortest path in 3-space, Proceedings of the tenth annual symposium on Computational geometry, p.41-48, June 06-08, 1994, Stony Brook, New York, United States
[doi> 10.1145/177424.177501]
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GHR+90
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D. Yu. GrigorievF J. HeintzF M.-F. RoyF SolernSF and N. N. VorobjovF Jr. Comptage des composantes connexes d'un ensemble semialg~brique en temps simplement exponentiel. C. R. Acad. Sci. ParisF 311F Ser. 1:879-882F 1990.
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Gri88
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GS97
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GV88
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GV92
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HKSS94
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J. HeintzFT. KrickFA. SlissenkoF and P. Solernd. Search for shortest path around semialgebraic obstacles in the plane. J. Math. SciencesF 70(4):1944-1949F 1994. Translation into English of the paper published in Zapiski Nauchn. Semin. LOM1F ~ol. 192(1991)F p. 163-173.
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HRS90
|
J. HeintzF M.-F. RffF and P SolernS. Sur la complexit~ du principe de Tarski-Seidenberg. Bull. Soc. Math. de FranceF 118:101-126F 1990.
|
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HRS94
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J. HeintzF M.-F. RffF and P SolernS. Description of the connected components of a semialgebraic set in single exponential time. Discrete and Computational CeometryF 11:121-140F 1994.
|
| |
HS94
|
|
| |
Lat91
|
|
| |
MS95
|
J.S.B. Mitchell and Suri S. A survey on computational geometryF volume 7 of Hanbooks in Operations Research and Management SciencesF chapter 7F pages 425-479. Elsevier Science B. V.F 1995.
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Pap85
|
C.H. Papadimitriou. An algorithm for shortestpath motion in three dimensions. Inform. Process. Lett.F 20:259-263F 1985.
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Pap94
|
C.H. Papadimitriou. Computational complexity. Addison-WesleyF 1994.
|
| |
Ren92
|
|
| |
SS90
|
|
| |
ST80
|
H. Seifert and W. Threlefall. A Textbook of Topology. Academic PressF 1980.
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Erin Wolf Chambers , Éric Colin de Verdière , Jeff Erickson , Sylvain Lazard , Francis Lazarus , Shripad Thite, Walking your dog in the woods in polynomial time, Proceedings of the twenty-fourth annual symposium on Computational geometry, June 09-11, 2008, College Park, MD, USA
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