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2013 Journal Article Optimising a nonlinear utility function in multi-objective integer programmingOzlen, Melih, Azizoglu, Meral and Burton, Benjamin A. (2013). Optimising a nonlinear utility function in multi-objective integer programming. Journal of Global Optimization, 56 (1), 93-102. doi: 10.1007/s10898-012-9921-4 |
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2013 Journal Article Locating regions in a sequence under density constraintsBurton, Benjamin A. and Hiron, Mathias (2013). Locating regions in a sequence under density constraints. SIAM Journal on Computing, 42 (3), 1201-1215. doi: 10.1137/110830605 |
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2012 Journal Article Computing the crosscap number of a knot using integer programming and normal surfacesBurton, Benjamin A. and Ozlen, Melih (2012). Computing the crosscap number of a knot using integer programming and normal surfaces. ACM Transactions On Mathematical Software, 39 (1) 4, 4.1-4.18. doi: 10.1145/2382585.2382589 |
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2012 Journal Article Triangulating a Cappell-Shaneson knot complementBudney, Ryan, Burton, Benjamin A. and Hillman, Jonathan (2012). Triangulating a Cappell-Shaneson knot complement. Mathematical Research Letters, 19 (5), 1117-1126. doi: 10.4310/MRL.2012.v19.n5.a12 |
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2012 Journal Article Pachner moves, generic complexity, and randomising 3-manifold triangulationsBurton, Benjamin A. (2012). Pachner moves, generic complexity, and randomising 3-manifold triangulations. Oberwolfach Reports, 9 (2), 1412-1414. doi: 10.4171/OWR/2012/24 |
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2011 Journal Article Searching a bitstream in linear time for the longest substring of any given densityBurton, Benjamin A. (2011). Searching a bitstream in linear time for the longest substring of any given density. Algorithmica, 61 (3), 555-579. doi: 10.1007/s00453-010-9424-y |
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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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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 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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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 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 |
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2004 Journal Article Efficient enumeration of 3-manifold triangulationsBurton, Benjamin A. (2004). Efficient enumeration of 3-manifold triangulations. The Australian Mathematical Society Gazette, 31 (2), 111-117. |
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2004 Journal Article Face pairing graphs and 3-manifold enumerationBurton, Benjamin A. (2004). Face pairing graphs and 3-manifold enumeration. Journal of Knot Theory and Its Ramifications (JKTR), 13 (8), 1057-1101. doi: 10.1142/S0218216504003627 |
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2004 Journal Article Introducing Regina, the 3-manifold topology softwareBurton, Benjamin A. (2004). Introducing Regina, the 3-manifold topology software. Experimental Mathematics, 13 (3), 267-272. |
