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2011 Journal Article Maximal admissible faces and asymptotic bounds for the normal surface solution spaceBurton, Benjamin A. (2011). Maximal admissible faces and asymptotic bounds for the normal surface solution space. Journal of Combinatorial Theory: Series A, 118 (4), 1410-1435. doi: 10.1016/j.jcta.2010.12.011 |
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2011 Conference Publication The Pachner graph and the simplification of 3-sphere triangulationsBurton, Benjamin A. (2011). The Pachner graph and the simplification of 3-sphere triangulations. 27th ACM Symposium on Computational Geometry [SoCG], Paris, France, 13-15 June 2011. New York, NY, U.S.A.: ACM. doi: 10.1145/1998196.1998220 |
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2011 Conference Publication Detecting genus in vertex links for the fast enumeration of 3-manifold triangulationsBurton, Benjamin A. (2011). Detecting genus in vertex links for the fast enumeration of 3-manifold triangulations. 36th International Symposium on Symbolic and Algebraic Computation [ISSAC], San Jose, CA, United States, 8-11 June 2011. New York, NY, United States: ACM Press. doi: 10.1145/1993886.1993901 |
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2011 Conference Publication A tree traversal algorithm for decision problems in knot theory and 3-manifold topologyBurton, Benjamin A. and Ozlen, Melih (2011). A tree traversal algorithm for decision problems in knot theory and 3-manifold topology. 27th Annual Symposium on Computational Geometry (SoCG 2011), Paris, France, 13-15 June 2011. New York, NY, United States: ACM Press. doi: 10.1145/1998196.1998219 |
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2010 Journal Article Optimizing the double description method for normal surface enumerationBurton, Benjamin A. (2010). Optimizing the double description method for normal surface enumeration. Mathematics of Computation, 79 (269), 453-484. doi: 10.1090/S0025-5718-09-02282-0 |
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2010 Conference Publication Encouraging algorithmic thinking without a computerBurton, Benjamin A. (2010). Encouraging algorithmic thinking without a computer. Lithuania: Institute of Mathematics and Informatics. |
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2010 Conference Publication Get involved! The IOI workshop 2010, its goals and resultsPohl, Wolfgang, Burton, Benjamin A., Dagiene, Valentina, Fakcharoenphol, Jittat, Forišek, Michal, Hiron, Mathias, Opmanis, Martiņš, Skupas, Bronius and Van Der Vegt, Willem (2010). Get involved! The IOI workshop 2010, its goals and results. Vilnius University. |
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2010 Journal Article Quadrilateral-octagon coordinates for almost normal surfacesBurton, Benjamin A. (2010). Quadrilateral-octagon coordinates for almost normal surfaces. Experimental Mathematics, 19 (3), 285-315. doi: 10.1080/10586458.2010.10390625 |
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2010 Journal Article Get involved! The IOI workshop 2010, its goals and resultsPohl, Wolfgang, Burton, Benjamin A., Dagienė, Valentina, Fakcharoenphol, Jittat, Forišek, Michal, Hiron, Mathias, Opmanis, Mārtiņš, Skūpas, Bronius and van der Vegt, Willem (2010). Get involved! The IOI workshop 2010, its goals and results. Olympiads in Informatics, 4, 158-169. |
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2010 Conference Publication The complexity of the normal surface solution spaceBurton, Benjamin A. (2010). The complexity of the normal surface solution space. 26th ACM Symposium on Computational Geometry [SCG], Snowbird, Utah, U.S.A., 13-16 June 2010. New York , U.S.A.: ACM (Association for Computing Machinery) Press. doi: 10.1145/1810959.1810995 |
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2009 Journal Article Converting between quadrilateral and standard solution sets in normal surface theoryBurton, Benjamin A. (2009). Converting between quadrilateral and standard solution sets in normal surface theory. Algebraic and Geometric Topology, 9 (4), 2121-2174. doi: 10.2140/agt.2009.9.2121 |
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2008 Conference Publication Creating informatics olympiad tasks: Exploring the black artBurton, Benjamin A. and Hiron, Mathias (2008). Creating informatics olympiad tasks: Exploring the black art. International Conference Joint with the 20th International Olympiad in Informatics, IOI 2008, Cairo, Egypt, 16 - 23 August 2008. Vilnius University. |
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2008 Conference Publication Informatics Olympiads: Challenges in programming and algorithm designBurton, Benjamin A. (2008). Informatics Olympiads: Challenges in programming and algorithm design. Thirty-First Australasian Computer Science Conference (ACSC 2008), Wollongong, NSW, Australia, 22-25 Jan 2008. Sydney, Australia: Australian Computer Society (ACS). |
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2008 Conference Publication Breaking the routine: Events to complement informatics olympiad trainingBurton, Benjamin A. (2008). Breaking the routine: Events to complement informatics olympiad training. International Conference Joint with the 20th International Olympiad in Informatics, IOI 2008, Cairo, Egypt, 16 - 23 August 2008. Vilnius University. |
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2008 Journal Article Breaking the routine: Events to complement informatics olympiad trainingBurton, Benjamin A. (2008). Breaking the routine: Events to complement informatics olympiad training. Olympiads in Informatics, 2, 5-15. |
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2008 Journal Article Creating informatics olympiad tasks: Exploring the black artBurton, Benjamin A. and Hiron, Mathias (2008). Creating informatics olympiad tasks: Exploring the black art. Olympiads in Informatics, 2, 16-36. |
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2007 Journal Article Enumeration of non-orientable 3-manifolds using face-pairing graphs and union-findBurton, Benjamin A. (2007). Enumeration of non-orientable 3-manifolds using face-pairing graphs and union-find. Discrete and Computational Geometry, 38 (3), 527-571. doi: 10.1007/s00454-007-1307-x |
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2007 Journal Article Informatics olympiads: Approaching mathematics through codeBurton, Benjamin A. (2007). Informatics olympiads: Approaching mathematics through code. Mathematics Competitions, 20 (2), 29-51. |
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2007 Journal Article Structures of small closed non-orientable 3-manifold triangulationsBurton, Benjamin A. (2007). Structures of small closed non-orientable 3-manifold triangulations. Journal of Knot Theory and Its Ramifications, 16 (5), 545-574. doi: 10.1142/S0218216507005439 |
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2007 Journal Article Observations from the 8-tetrahedron nonorientable censusBurton, Benjamin A. (2007). Observations from the 8-tetrahedron nonorientable census. Experimental Mathematics, 16 (2), 129-144. doi: 10.1080/10586458.2007.10128994 |
