-
1
-
-
33748297453
-
The computational complexity of knot genus and spanning area
-
ArXiv:math/0205057
-
Ian Agol, Joel Hass, and William P. Thurston. The computational complexity of knot genus and spanning area. Trans. Amer. Math. Soc. 358(9):3821-3850, 2006. ArXiv:math/0205057.
-
(2006)
Trans. Amer. Math. Soc.
, vol.358
, Issue.9
, pp. 3821-3850
-
-
Agol, I.1
Hass, J.2
Thurston, W.P.3
-
2
-
-
0039081770
-
Visiblity between two edges of a simple polygon
-
David Avis, Teren Gum, and Godfried T. Toussaint. Visiblity between two edges of a simple polygon. Vis. Comput. 2:342-357, 1986.
-
(1986)
Vis. Comput.
, vol.2
, pp. 342-357
-
-
Avis, D.1
Gum, T.2
Toussaint, G.T.3
-
3
-
-
0002187292
-
An almost optimal algorithm for unbounded searching
-
Jon Louis Bentley and Andrew Chi-Chih Yao. An almost optimal algorithm for unbounded searching. Inform. Proc. Lett. 5:82-87, 1976.
-
(1976)
Inform. Proc. Lett.
, vol.5
, pp. 82-87
-
-
Bentley, J.L.1
Yao, A.C.-C.2
-
4
-
-
0001238356
-
Geodesics with bounded intersection number on surfaces are sparsely distributed
-
Joan S. Birman and Caroline Series. Geodesics with bounded intersection number on surfaces are sparsely distributed. Topology 24(2):217-225, 1985.
-
(1985)
Topology
, vol.24
, Issue.2
, pp. 217-225
-
-
Birman, J.S.1
Series, C.2
-
5
-
-
38249027885
-
Algebraic linearity for an automorphism of a surface group
-
Joan S. Birman and Caroline Series. Algebraic linearity for an automorphism of a surface group. J. Pure Appl. Algebra 52:227-275, 1988.
-
(1988)
J. Pure Appl. Algebra
, vol.52
, pp. 227-275
-
-
Birman, J.S.1
Series, C.2
-
6
-
-
77954921903
-
The complexity of the normal surface solution space
-
Benjamin A. Burton. The complexity of the normal surface solution space. Proc. 26th Ann. Symp. Comput. Geom., 201-209, 2010.
-
(2010)
Proc. 26th Ann. Symp. Comput. Geom.
, pp. 201-209
-
-
Burton, B.A.1
-
7
-
-
84863913613
-
Computing the cross-cap number of a knot using integer programming and normal surfaces
-
(to appear) ArXiv:1107.2382
-
Benjamin A. Burton and Melih Ozlen. Computing the cross-cap number of a knot using integer programming and normal surfaces. ACM Trans. Math. Software (to appear), 2012. ArXiv:1107.2382.
-
(2012)
ACM Trans. Math. Software
-
-
Burton, B.A.1
Ozlen, M.2
-
9
-
-
51249192766
-
Die Gruppe der Abbildungsklassen (Das arithmetische Feld auf Flächen)
-
Max Dehn. Die Gruppe der Abbildungsklassen (Das arithmetische Feld auf Flächen). Acta Mathematica 69:135-206, 1938.
-
(1938)
Acta Mathematica
, vol.69
, pp. 135-206
-
-
Dehn, M.1
-
12
-
-
1142300702
-
Optimally cutting a surface into a disk
-
Jeff Erickson and Sariel Har-Peled. Optimally cutting a surface into a disk. Discrete Comput. Geom. 31(1):37-59, 2004.
-
(2004)
Discrete Comput. Geom.
, vol.31
, Issue.1
, pp. 37-59
-
-
Erickson, J.1
Har-Peled, S.2
-
13
-
-
0002304365
-
Travaux de Thurston sur les surfaces. Astérisque 66-67
-
Séminaire Orsay. English translation in [14]
-
Albert Fathi, François Laudenbach, and Valentin Poénaru. Travaux de Thurston sur les surfaces. Astérisque 66-67. Soc. Math. de France, 1979. Séminaire Orsay. English translation in [14].
-
(1979)
Soc. Math. de France
-
-
Fathi, A.1
Laudenbach, F.2
Poénaru, V.3
-
14
-
-
84871869148
-
-
Mathematical Notes. Princeton Univ. Press Translated by Djun Kim and Dan Margalit. English translation of [13]
-
Albert Fathi, François Laudenbach, and Valentin Poénaru. Thurston's Work on Surfaces. Mathematical Notes. Princeton Univ. Press, 2011. Translated by Djun Kim and Dan Margalit. English translation of [13].
-
(2011)
Thurston's Work on Surfaces
-
-
Fathi, A.1
Laudenbach, F.2
Poénaru, V.3
-
15
-
-
51249193257
-
Theorie der Normalflächen: Ein Isotopiekriterium für den Kreisknoten
-
Wolfgang Haken. Theorie der Normalflächen: Ein Isotopiekriterium für den Kreisknoten. Acta Mathematica 105:245-375, 1961.
-
(1961)
Acta Mathematica
, vol.105
, pp. 245-375
-
-
Haken, W.1
-
16
-
-
0000407326
-
The computational complexity of knot and link problems
-
Joel Hass, Jeffrey C. Lagarias, and Nicholas Pippenger. The computational complexity of knot and link problems. J. ACM 46(2):185-211, 1999.
-
(1999)
J. ACM
, vol.46
, Issue.2
, pp. 185-211
-
-
Hass, J.1
Lagarias, J.C.2
Pippenger, N.3
-
17
-
-
55449101687
-
An extraordinary origami curve
-
Frank Herrlich and Gabriela Schmithüsen. An extraordinary origami curve. Math. Nachr. 281(2):219-237, 2008.
-
(2008)
Math. Nachr.
, vol.281
, Issue.2
, pp. 219-237
-
-
Herrlich, F.1
Schmithüsen, G.2
-
18
-
-
0001003454
-
A pedestrian approach to ray shooting: Shoot a ray, take a walk
-
John Hershberger and Subhash Suri. A pedestrian approach to ray shooting: Shoot a ray, take a walk. J. Algorithms 18(3):403-431, 1995.
-
(1995)
J. Algorithms
, vol.18
, Issue.3
, pp. 403-431
-
-
Hershberger, J.1
Suri, S.2
-
19
-
-
0001543272
-
Geschlossene Flächen in dreidimensionalen Mannigfaltigkeiten
-
Helmuth Kneser. Geschlossene Flächen in dreidimensionalen Mannigfaltigkeiten. Jahresbericht Deutschen Math.-Verein. 38:248-260, 1930.
-
(1930)
Jahresbericht Deutschen Math.-verein.
, vol.38
, pp. 248-260
-
-
Kneser, H.1
-
20
-
-
0042386016
-
Note sur la limite du monbre des divisions dand la recherche du plus grand commun divisur entre dex nombres entiers
-
Paris
-
Gabriel Lamé. Note sur la limite du monbre des divisions dand la recherche du plus grand commun divisur entre dex nombres entiers. Compt. Rend. Acad. Sci., Paris 19:857-870, 1844.
-
(1844)
Compt. Rend. Acad. Sci.
, vol.19
, pp. 857-870
-
-
Lamé, G.1
-
21
-
-
0021483844
-
Euclidean shortest paths in the presence of rectilinear barriers
-
Der-Tsai Lee and Franco P. Preparata. Euclidean shortest paths in the presence of rectilinear barriers. Networks 14:393-410, 1984.
-
(1984)
Networks
, vol.14
, pp. 393-410
-
-
Lee, D.-T.1
Preparata, F.P.2
-
22
-
-
37849000545
-
Processing compressed texts: A tractabiliity border
-
Lecture Notes Comput. Sci. 4850, Springer-Verlag
-
Yury Lifshits. Processing compressed texts: A tractabiliity border. Proc. 18th Ann. Symp. Combin. Pattern Matching, 228-240, 2007. Lecture Notes Comput. Sci. 4850, Springer-Verlag.
-
(2007)
Proc. 18th Ann. Symp. Combin. Pattern Matching
, pp. 228-240
-
-
Lifshits, Y.1
-
23
-
-
0242312773
-
-
Popular Lectures Math. 13. Pergamon Press Translated and adapted from the Russian by P. Collins and Robert B. Brown
-
Lazar Aronovich Lyusternik. Shortest Paths: Variational Problems. Popular Lectures Math. 13. Pergamon Press, 1964. Translated and adapted from the Russian by P. Collins and Robert B. Brown.
-
(1964)
Shortest Paths: Variational Problems
-
-
Lyusternik, L.A.1
-
24
-
-
0012588291
-
An improved pattern matching algorithm for strings in terms of straight-line programs
-
Masamichi Miyazaki, Ayumi Shinohara, and Masayuki Takeda. An improved pattern matching algorithm for strings in terms of straight-line programs. J. Discrete Algorithms[Hermes] 1(1):187-204, 2000.
-
(2000)
J. Discrete Algorithms[Hermes]
, vol.1
, Issue.1
, pp. 187-204
-
-
Miyazaki, M.1
Shinohara, A.2
Takeda, M.3
-
25
-
-
0039284500
-
Geodesics on modular surfaces and continued fractions
-
Richard Moeckel. Geodesics on modular surfaces and continued fractions. Ergodic Theory Dynam. Sys. 2:69-83, 1982.
-
(1982)
Ergodic Theory Dynam. Sys.
, vol.2
, pp. 69-83
-
-
Moeckel, R.1
-
27
-
-
84863919999
-
-
Narbacular Drop. Video game
-
Nuclear Monkey Software. Narbacular Drop. Video game, 2005.
-
(2005)
Nuclear Monkey Software
-
-
-
28
-
-
0036883303
-
Recognizing string graphs is decidable
-
János Pach and Géza Tóth. Recognizing string graphs is decidable. Discrete Comput. Geom. 28(4):593-606, 2001.
-
(2001)
Discrete Comput. Geom.
, vol.28
, Issue.4
, pp. 593-606
-
-
Pach, J.1
Tóth, G.2
-
29
-
-
0009943947
-
The action of the mapping class group on curves in surfaces
-
Robert C. Penner. The action of the mapping class group on curves in surfaces. L'Enseignment Mathématique 30:39-55, 1984.
-
(1984)
L'Enseignment Mathématique
, vol.30
, pp. 39-55
-
-
Penner, R.C.1
-
30
-
-
0003362027
-
Combinatorics of train tracks
-
Princeton Univ. Press
-
Robert C. Penner and John L. Harer. Combinatorics of Train Tracks. Annals of Math. Studies 125. Princeton Univ. Press, 1992.
-
(1992)
Annals of Math. Studies
, vol.125
-
-
Penner, R.C.1
Harer, J.L.2
-
31
-
-
84878620266
-
Application of lempel-ziv encodings to the solution of word equations
-
Lecture Notes Comput. Sci. 1443, Springer-Verlag
-
Wojciech Plandowski and Wojciech Rytter. Application of Lempel-Ziv encodings to the solution of word equations. Proc. 25th Int. Conf. Automata Lang. Prog., 731-742, 1998. Lecture Notes Comput. Sci. 1443, Springer-Verlag.
-
(1998)
Proc. 25th Int. Conf. Automata Lang. Prog.
, pp. 731-742
-
-
Plandowski, W.1
Rytter, W.2
-
34
-
-
0038238644
-
Application of lempel-ziv factorization to the approximation of grammar-based compression
-
Wojciech Rytter. Application of Lempel-Ziv factorization to the approximation of grammar-based compression. Theoret. Comput. Sci. 302:211-222, 2003.
-
(2003)
Theoret. Comput. Sci.
, vol.302
, pp. 211-222
-
-
Rytter, W.1
-
35
-
-
34547661721
-
Algorithms for normal curves and surfaces
-
Lecture Notes Comput. Sci. 2387, Springer-Verlag
-
Marcus Schaefer, Eric Sedgwick, and Daniel Štefankovic. Algorithms for normal curves and surfaces. Proc. 8th Int. Conf. Comput. Combin., 370-380, 2002. Lecture Notes Comput. Sci. 2387, Springer-Verlag.
-
(2002)
Proc. 8th Int. Conf. Comput. Combin.
, pp. 370-380
-
-
Schaefer, M.1
Sedgwick, E.2
Štefankovic, D.3
-
38
-
-
84863954598
-
Computing dehn twists and geometric intersection numbers in polynomial time
-
Full version: Tech. Rep. 05-009, Comput. Sci. Dept, DePaul Univ., April 2005
-
Marcus Schaefer, Eric Sedgwick, and Daniel Štefankovic. Computing Dehn twists and geometric intersection numbers in polynomial time. Proc. 20th Canadian Conf. Comput. Geom., 111-114, 2008. Full version: Tech. Rep. 05-009, Comput. Sci. Dept, DePaul Univ., April 2005, (http://facweb.cs.depaul.edu/ research/techreports/abstract05009.htm).
-
(2008)
Proc. 20th Canadian Conf. Comput. Geom.
, pp. 111-114
-
-
Schaefer, M.1
Sedgwick, E.2
Štefankovic, D.3
-
39
-
-
79958281699
-
Spiraling and folding: The word view
-
Marcus Schaefer, Eric Sedgwick, and Daniel Štefankovic. Spiraling and folding: The word view. Algorithmica 60(3):609-626, 2011.
-
(2011)
Algorithmica
, vol.60
, Issue.3
, pp. 609-626
-
-
Schaefer, M.1
Sedgwick, E.2
Štefankovic, D.3
-
41
-
-
0002189261
-
The modular surface and continued fractions
-
Caroline Series. The modular surface and continued fractions. J. London Math. Soc. 31:69-80, 1985.
-
(1985)
J. London Math. Soc.
, vol.31
, pp. 69-80
-
-
Series, C.1
-
42
-
-
84974137974
-
Geometrical Markov coding of geodesics on surfaces of constant negative curvature
-
Caroline Series. Geometrical Markov coding of geodesics on surfaces of constant negative curvature. Ergodic Theory Dynam. Sys. 6(4):601-625, 1986.
-
(1986)
Ergodic Theory Dynam. Sys.
, vol.6
, Issue.4
, pp. 601-625
-
-
Series, C.1
-
43
-
-
0013415011
-
Origins of the analysis of the euclidean algorithm
-
Jeffrey Shallit. Origins of the analysis of the Euclidean algorithm. Hist. Math. 21:401-419, 1994.
-
(1994)
Hist. Math.
, vol.21
, pp. 401-419
-
-
Shallit, J.1
-
44
-
-
84863913374
-
-
Ph.D. thesis, Dept. Comput. Sci., Univ. Chicago, June
-
Daniel Štefankovic. Algorithms for simple curves on surfaces, string graphs, and crossing numbers. Ph.D. thesis, Dept. Comput. Sci., Univ. Chicago, June 2005.
-
(2005)
Algorithms for Simple Curves on Surfaces, String Graphs, and Crossing Numbers
-
-
Štefankovic, D.1
-
46
-
-
84968476184
-
On the geometry and dynamics of diffeomorphisms of surfaces
-
Circulated as a preprint in 1976
-
William P. Thurston. On the geometry and dynamics of diffeomorphisms of surfaces. Bull. Amer. Math. Soc. 19(2):417-431, 1988. Circulated as a preprint in 1976.
-
(1988)
Bull. Amer. Math. Soc.
, vol.19
, Issue.2
, pp. 417-431
-
-
Thurston, W.P.1
-
47
-
-
0022858292
-
Shortest path solves edge-to-edge visibility in a polygon
-
Godfried T. Toussaint. Shortest path solves edge-to-edge visibility in a polygon. Patt. Recog. Letters 4(3):165-170, 1986.
-
(1986)
Patt. Recog. Letters
, vol.4
, Issue.3
, pp. 165-170
-
-
Toussaint, G.T.1
-
48
-
-
84863920002
-
-
Valve Corporation
-
Valve Corporation. Portal. Video game, 2007.
-
(2007)
Portal. Video Game
-
-
|