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2013 Conference Publication The complexity of detecting taut angle structures on triangulationsBurton, 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 |
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2013 Book Chapter Computational topology with regina: algorithms, heuristics and implementationsBurton, Benjamin A. (2013). Computational topology with regina: algorithms, heuristics and implementations. Geometry and topology down under: a conference in honour of Hyam Rubinstein. (pp. 195-224) edited by Craig D. Hodgson, William H. Jaco, Martin G. Scharlemann and Stephan Tillmann. Providence, RI, United States: American Mathematical Society. doi: 10.1090/conm/597/11877 |
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2012 Journal Article The Weber-Seifert dodecahedral space is non-HakenBurton, Benjamin A., Rubinstein, J. Hyam and Tillmann, Stephan (2012). The Weber-Seifert dodecahedral space is non-Haken. Transactions of the American Mathematical Society, 364 (2), 911-932. doi: 10.1090/S0002-9947-2011-05419-X |
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2010 Journal Article A mathematician reflecting on the International Olympiad in InformaticsBurton, Benjamin A. (2010). A mathematician reflecting on the International Olympiad in Informatics. Australian Mathematical Society Gazette, 37 (1), 15-21. |
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2024 Journal Article Arc diagrams on 3-manifold spinesBrand, Jack, Burton, Benjamin A., Dancso, Zsuzsanna, He, Alexander, Jackson, Adele and Licata, Joan (2024). Arc diagrams on 3-manifold spines. Discrete and Computational Geometry, 71 (4), 1190-1209. doi: 10.1007/s00454-023-00539-4 |
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2023 Conference Publication Finding large counterexamples by selectively exploring the Pachner graphBurton, 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 |
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2023 Journal Article Hard Diagrams of the UnknotBurton, Benjamin A., Chang, Hsien-Chih, Löffler, Maarten, Maria, Clément, de Mesmay, Arnaud, Schleimer, Saul, Sedgwick, Eric and Spreer, Jonathan (2023). Hard Diagrams of the Unknot. Experimental Mathematics, 33 (3), 1-19. doi: 10.1080/10586458.2022.2161676 |
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2022 Journal Article Flip graphs of stacked and flag triangulations of the 2-sphereBurton, Benjamin A., Datta, Basudeb and Spreer, Jonathan (2022). Flip graphs of stacked and flag triangulations of the 2-sphere. Electronic Journal of Combinatorics, 29 (2) P2.6. doi: 10.37236/10292 |
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2022 Journal Article ForewordBurton, Benjamin (2022). Foreword. Olympiads in Informatics, 16, 1-2. doi: 10.15388/ioi.2022.00 |
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2021 Journal Article On the hardness of finding normal surfacesBurton, Benjamin A. and He, Alexander (2021). On the hardness of finding normal surfaces. Journal of Applied and Computational Topology, 5 (4), 583-619. doi: 10.1007/s41468-021-00076-0 |
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2020 Conference Publication The next 350 million knotsBurton, 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 |
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2020 Conference Publication Knot Diagrams of Treewidth TwoBodlaender, 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 |
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2020 Journal Article Embeddings of 3-Manifolds in S4 from the Point of View of the 11-Tetrahedron CensusBudney, Ryan and Burton, Benjamin A. (2020). Embeddings of 3-Manifolds in S4 from the Point of View of the 11-Tetrahedron Census. Experimental Mathematics, 31 (3), 1-26. doi: 10.1080/10586458.2020.1740836 |
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2019 Other Outputs Tabulation of knots and 3-manifoldsBurton, Benjamin (2019). Tabulation of knots and 3-manifolds. The University of Queensland. (Dataset) doi: 10.48610/3bb4c69 |
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2019 Journal Article The parameterized complexity of finding a 2-sphere in a simplicial complexBurton, Benjamin, Cabello, Sergio, Kratsch, Stefan and Pettersson, William (2019). The parameterized complexity of finding a 2-sphere in a simplicial complex. SIAM Journal on Discrete Mathematics, 33 (4), 2092-2110. doi: 10.1137/18M1168704 |
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2018 Journal Article Algorithms and complexity for Turaev–Viro invariantsBurton, Benjamin A., Maria, Clément and Spreer, Jonathan (2018). Algorithms and complexity for Turaev–Viro invariants. Journal of Applied and Computational Topology, 2 (1-2), 33-53. doi: 10.1007/s41468-018-0016-2 |
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2018 Conference Publication The HOMFLY-PT polynomial is fixed-parameter tractableBurton, 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 |
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2017 Conference Publication Randomness testing and comparison of classical and quantum bit generatorsBoztas, 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 |
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2017 Conference Publication Finding Non-orientable Surfaces in 3-ManifoldsBurton, 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 |
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2017 Conference Publication The parameterized complexity of finding a 2-sphere in a simplicial complexBurton, 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 |
