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2013

Conference Publication

The complexity of detecting taut angle structures on triangulations

Burton, Benjamin and Spreer, Jonathan (2013). The complexity of detecting taut angle structures on triangulations. 24th ACM-SIAM Symposium on Discrete Algorithms (SODA 2013), New Orleans, United States, 6-9 January 2013. Philadelphia, United States: Society for Industrial and Applied Mathematics. doi: 10.1137/1.9781611973105.13

The complexity of detecting taut angle structures on triangulations

2023

Conference Publication

Finding large counterexamples by selectively exploring the Pachner graph

Burton, Benjamin A. and He, Alexander (2023). Finding large counterexamples by selectively exploring the Pachner graph. Symposium on Computational Geometry (SoCG), Dallas, TX, United States, 12-15 June 2023. Wadern, Germany: Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik. doi: 10.4230/LIPIcs.SoCG.2023.21

Finding large counterexamples by selectively exploring the Pachner graph

2020

Conference Publication

The next 350 million knots

Burton, Benjamin A. (2020). The next 350 million knots. 36th International Symposium on Computational Geometry (SoCG 2020), Zürich, Switzerland, 23-26 June 2020. Wadern, Germany: Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH. doi: 10.4230/LIPIcs.SoCG.2020.25

The next 350 million knots

2020

Conference Publication

Knot Diagrams of Treewidth Two

Bodlaender, Hans L., Burton, Benjamin, Fomin, Fedor V. and Grigoriev, Alexander (2020). Knot Diagrams of Treewidth Two. 46th International Workshop on Graph-Theoretic Concepts in Computer Science (WG 2020), Online, 24–26 June 2020. Heidelberg, Germany: Springer. doi: 10.1007/978-3-030-60440-0_7

Knot Diagrams of Treewidth Two

2018

Conference Publication

The HOMFLY-PT polynomial is fixed-parameter tractable

Burton, Benjamin A. (2018). The HOMFLY-PT polynomial is fixed-parameter tractable. 34th International Symposium on Computational Geometry, SoCG 2018, Budapest, Hungary, 11-14 June 2018. Wadern, Germany: Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing. doi: 10.4230/LIPIcs.SoCG.2018.18

The HOMFLY-PT polynomial is fixed-parameter tractable

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

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

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

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

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

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

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

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

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

2014

Conference Publication

Enumerating fundamental normal surfaces: algorithms, experiments and invariants

Burton, Benjamin A. (2014). Enumerating fundamental normal surfaces: algorithms, experiments and invariants. 16th Workshop on Algorithm Engineering and Experiments (ALENEX14), Portland, United States, 5 January 2014. Philadelphia, United States: Society for Industrial and Applied Mathematics (SIAM). doi: 10.1137/1.9781611973198.11

Enumerating fundamental normal surfaces: algorithms, experiments and invariants

2014

Conference Publication

Courcelle's theorem for triangulations

Burton, Benjamin A. (2014). Courcelle's theorem for triangulations. Workshop on Triangulations in Geometry and Topology. SoCG 2014: Computational Geometry Week 2014. The 30th Annual Symposium on Computational Geometry, Kyoto, Japan, 8-11 June, 2014. Ithaca, NY, USA: Cornell University Library.

Courcelle's theorem for triangulations

2013

Conference Publication

A new approach to crushing 3-manifold triangulations

Burton, Benjamin A. (2013). A new approach to crushing 3-manifold triangulations. SoCG '13: Symposium on Computational Geometry 2013, Rio de Janeiro, Brazil, 17 - 20 June 2013. New York, NY United States: Association for Computing Machinery. doi: 10.1145/2493132.2462409

A new approach to crushing 3-manifold triangulations

2013

Conference Publication

A tree traversal algorithm for decision problems in knot theory and 3-manifold topology

Burton, Benjamin A. and Ozlen, Melih (2013). A tree traversal algorithm for decision problems in knot theory and 3-manifold topology. Secaucus, NJ, United States: Springer. doi: 10.1007/s00453-012-9645-3

A tree traversal algorithm for decision problems in knot theory and 3-manifold topology

2013

Conference Publication

Computing closed essential surfaces in knot complements

Burton, Benjamin A., Coward, Alexander and Tillmann, Stephan (2013). Computing closed essential surfaces in knot complements. SoCG '13: Symposium on Computational Geometry 2013, Rio de Janeiro, Brazil, 17 - 20 June 2013. New York, NY United States: Association for Computing Machinery. doi: 10.1145/2493132.2462380

Computing closed essential surfaces in knot complements