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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 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 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 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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2016 Journal Article Courcelle's theorem for triangulationsBurton, 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 |
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2016 Journal Article A construction principle for tight and minimal triangulations of manifoldsBurton, 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 |
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2016 Journal Article Combinatorial Seifert fibred spaces with transitive cyclic automorphism groupBurton, 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 |
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2016 Journal Article On the complexity of immersed normal surfacesBurton, 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 |
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2016 Journal Article Parameterized complexity of discrete Morse theoryBurton, 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 |
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2016 Journal Article 2-manifold recognition is in logspaceBurton, Benjamin A., Elder, Murray, Kalka, Arkadius and Tillmann, Stephan (2016). 2-manifold recognition is in logspace. Journal of Computational Geometry, 7 (1), 70-85. |
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2015 Journal Article Separation index of graphs and stacked 2-spheresBurton, 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 |
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2014 Journal Article A new approach to crushing 3-manifold triangulationsBurton, 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 |
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2014 Journal Article A duplicate pair in the SnapPea censusBurton, Benjamin A. (2014). A duplicate pair in the SnapPea census. Experimental Mathematics, 23 (2), 170-173. doi: 10.1080/10586458.2014.886535 |
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2014 Journal Article Multi-objective integer programming: an improved recursive algorithmOzlen, 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 |
