Skip to menu Skip to content Skip to footer

2017

Conference Publication

Randomness testing and comparison of classical and quantum bit generators

Boztas, Serdar and Burton, Benjamin A. (2017). Randomness testing and comparison of classical and quantum bit generators. 2017 IEEE Symposium on Computers and Communications (ISCC), , Heraklion, Greece, 3-6 July 2017. Piscataway, NJ United States: Institute of Electrical and Electronics Engineers . doi: 10.1109/ISCC.2017.8024660

Randomness testing and comparison of classical and quantum bit generators

2017

Conference Publication

Finding Non-orientable Surfaces in 3-Manifolds

Burton, Benjamin A., de Mesmay, Arnaud and Wagner, Uli (2017). Finding Non-orientable Surfaces in 3-Manifolds. 32nd Annual ACM International Symposium on Computational Geometry (SoCG), Boston Ma, Jun 14-17, 2016. New York, NY United States: Springer New York. doi: 10.1007/s00454-017-9900-0

Finding Non-orientable Surfaces in 3-Manifolds

2017

Conference Publication

The parameterized complexity of finding a 2-sphere in a simplicial complex

Burton, Benjamin, Cabello, Sergio, Kratsch, Stefan and Pettersson, William (2017). The parameterized complexity of finding a 2-sphere in a simplicial complex. 34th Symposium on Theoretical Aspects of Computer Science, STACS 2017, Hannover, Germany, 8 - 11 March 2017. Wadern, Germany: Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH. doi: 10.4230/LIPIcs.STACS.2017.18

The parameterized complexity of finding a 2-sphere in a simplicial complex

2017

Conference Publication

Computing optimal homotopies over a spiked plane with polygonal boundary

Burton, Benjamin, Chambers, Erin, Van Kreveld, Marc, Meulemans, Wouter, Ophelders, Tim and Speckmann, Bettina (2017). Computing optimal homotopies over a spiked plane with polygonal boundary. 25th European Symposium on Algorithms, ESA 2017, Vienna, Austria, 4-6 September 2017. Wadern, Germany: Schloss Dagstuhl - Leibniz-Zentrum fur Informatik GmbH. doi: 10.4230/LIPIcs.ESA.2017.23

Computing optimal homotopies over a spiked plane with polygonal boundary

2016

Journal Article

Courcelle's theorem for triangulations

Burton, Benjamin A. and Downey, Rodney G. (2016). Courcelle's theorem for triangulations. Journal of Combinatorial Theory. Series A, 146, 264-294. doi: 10.1016/j.jcta.2016.10.001

Courcelle's theorem for triangulations

2016

Journal Article

A construction principle for tight and minimal triangulations of manifolds

Burton, Benjamin A., Datta, Basudeb, Singh, Nitin and Spreer, Jonathan (2016). A construction principle for tight and minimal triangulations of manifolds. Experimental Mathematics, 27 (1), 22-36. doi: 10.1080/10586458.2016.1212747

A construction principle for tight and minimal triangulations of manifolds

2016

Journal Article

Combinatorial Seifert fibred spaces with transitive cyclic automorphism group

Burton, Benjamin and Spreer, Jonathan (2016). Combinatorial Seifert fibred spaces with transitive cyclic automorphism group. Israel Journal of Mathematics, 214 (2), 741-784. doi: 10.1007/s11856-016-1330-9

Combinatorial Seifert fibred spaces with transitive cyclic automorphism group

2016

Journal Article

On the complexity of immersed normal surfaces

Burton, Benjamin A., de Verdière, Éric Colin and de Mesmay, Arnaud (2016). On the complexity of immersed normal surfaces. Geometry and Topology, 20 (2), 1061-1083. doi: 10.2140/gt.2016.20.1061

On the complexity of immersed normal surfaces

2016

Journal Article

Parameterized complexity of discrete Morse theory

Burton, Benjamin A., Lewiner, Thomas, Paixao, Joao and Spreer, Jonathan (2016). Parameterized complexity of discrete Morse theory. ACM Transactions On Mathematical Software, 42 (1) 2738034, 6:1-6:24. doi: 10.1145/2738034

Parameterized complexity of discrete Morse theory

2016

Journal Article

2-manifold recognition is in logspace

Burton, Benjamin A., Elder, Murray, Kalka, Arkadius and Tillmann, Stephan (2016). 2-manifold recognition is in logspace. Journal of Computational Geometry, 7 (1), 70-85.

2-manifold recognition is in logspace

2016

Conference Publication

Efficient algorithms to decide tightness

Bagchi, Bhaskar, Datta, Basudeb, Burton, Benjamin A., Singh, Nitin and Spreer, Jonathan (2016). Efficient algorithms to decide tightness. International Symposium on Computational Geometry, Boston, MA, United States, 14-18 June 2016. Wadern, Germany: Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik. doi: 10.4230/LIPIcs.SoCG.2016.12

Efficient algorithms to decide tightness

2016

Conference Publication

Finding non-orientable surfaces in 3-manifolds

Burton, Benjamin A., de Mesmay, Arnaud and Wagner, Uli (2016). Finding non-orientable surfaces in 3-manifolds. International Symposium on Computational Geometry, Boston, MA, United States, 14-17 June 2016. Wadern, Germany: Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik. doi: 10.4230/LIPIcs.SoCG.2016.24

Finding non-orientable surfaces in 3-manifolds

2015

Journal Article

Separation index of graphs and stacked 2-spheres

Burton, Benjamin, Datta, Basudeb, Singh, Nitin and Spreer, Jonathan (2015). Separation index of graphs and stacked 2-spheres. Journal of Combinatorial Theory. Series A, 136, 184-197. doi: 10.1016/j.jcta.2015.07.001

Separation index of graphs and stacked 2-spheres

2015

Conference Publication

An edge-based framework for enumerating 3-manifold triangulations

Burton, Benjamin A. and Pettersson, William (2015). An edge-based framework for enumerating 3-manifold triangulations. International Symposium on Computational Geometry, Eindhoven, Netherlands, 22-25 June 2015. Wadern, Germany: Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing. doi: 10.4230/LIPIcs.SOCG.2015.270

An edge-based framework for enumerating 3-manifold triangulations

2015

Conference Publication

Algorithms and complexity for Turaev-Viro invariants

Burton, Benjamin A., Maria, Clément and Spreer, Jonathan (2015). Algorithms and complexity for Turaev-Viro invariants. International Colloquium on Automata, Languages, and Programming, Kyoto, Japan, 6-10 June 2015. Heidelberg, Germany: Springer. doi: 10.1007/978-3-662-47672-7_23

Algorithms and complexity for Turaev-Viro invariants

2015

Conference Publication

Tabulation of 3-manifolds of lengths up to 10

Kawauchi, Akio, Tayama, Ikuo and Burton, Benjamin (2015). Tabulation of 3-manifolds of lengths up to 10. International Conference on Topology and Geometry 2013, joint with the Sixth Japan-Mexico Topology Symposium, Matsue, Japan, September 2-6, 2013. Amsterdam, Netherlands: Elsevier BV. doi: 10.1016/j.topol.2015.05.036

Tabulation of 3-manifolds of lengths up to 10

2014

Journal Article

A new approach to crushing 3-manifold triangulations

Burton, Benjamin A. (2014). A new approach to crushing 3-manifold triangulations. Discrete and Computational Geometry, 52 (1), 116-139. doi: 10.1007/s00454-014-9572-y

A new approach to crushing 3-manifold triangulations

2014

Journal Article

A duplicate pair in the SnapPea census

Burton, Benjamin A. (2014). A duplicate pair in the SnapPea census. Experimental Mathematics, 23 (2), 170-173. doi: 10.1080/10586458.2014.886535

A duplicate pair in the SnapPea census

2014

Journal Article

Multi-objective integer programming: an improved recursive algorithm

Ozlen, Melih, Burton, Benjamin A. and MacRae, Cameron A. G. (2014). Multi-objective integer programming: an improved recursive algorithm. Journal of Optimization Theory and Applications, 160 (2), 470-482. doi: 10.1007/s10957-013-0364-y

Multi-objective integer programming: an improved recursive algorithm

2014

Conference Publication

Fixed parameter tractable algorithms in combinatorial topology

Burton, Benjamin A. and Pettersson, William (2014). Fixed parameter tractable algorithms in combinatorial topology. 20th International Computing and Combinatorics Conference, COCOON 2014, Atlanta, GA United States, 2 - 6 August 2014. Heidelberg, Germany: Springer. doi: 10.1007/978-3-319-08783-2_26

Fixed parameter tractable algorithms in combinatorial topology