Selected Publications

  1. Antoine Deza, Zhongyuan Liu, and Lionel Pournin:
    Kissing polytopes in dimension 3.
    Experimental Mathematics (to appear).

  2. Antoine Deza, Mingfei Hao, and Lionel Pournin:
    Sizing the White Whale.
    Data Science and Optimization, Fields Institute Communications Series (to appear).

  3. Antoine Deza, Zhongyuan Liu, and Lionel Pournin:
    Small kissing polytopes.
    Vietnam Journal of Mathematics 53 (2025) 901 – 913.

  4. Jean-Philippe Chancelier, Michel de Lara, Antoine Deza, and Lionel Pournin:
    Geometry of sparsity-inducing Norms.
    AdvOL-Report 2025/1, McMaster University (2025).

  5. Antoine Deza, Kai Huang, and Carlos Suárez:
    Electric vehicle charging network design under congestion.
    AdvOL-Report 2024/2, McMaster University (2024).

  6. Antoine Deza, Shmuel Onn, Sebastian Pokutta, and Lionel Pournin:
    Kissing polytopes.
    SIAM Journal on Discrete Mathematics 38 (2024) 2643 – 2664.

  7. Antoine Deza, Sebastian Pokutta, and Lionel Pournin:
    The complexity of geometric scaling.
    Operations Research Letters 52 (2024) 107057.

  8. Ariel Boucheikhchoukh, Valentin Berger, Christopher Swartz, Antoine Deza, Alexander Nguyen, Shaffiq Jaffer:
    Multiperiod refinery optimization for mitigation of the impact of process unit shutdowns.
    Computers and Chemical Engineering 164 (2022) 107873

  9. Antoine Deza and Lionel Pournin:
    Primitive point packing.
    Mathematika 68 (2022) 979 – 1007.

  10. Antoine Deza, Kai Huang, and Michael Metel:
    Charging station optimization for balanced electric car sharing.
    Discrete Applied Mathematics 308 (2022) 187 - 197.

  11. Antoine Deza and Lionel Pournin:
    A linear optimization oracle for zonotope computation.
    Computational Geometry: Theory and Applications 100 (2022) 101809.

  12. Antoine Deza, Frédéric Meunier, and Tal Raviv (Editors):
    Optimization and Discrete Geometry.
    Discrete Optimization 44 (2022) 100658.

  13. Antoine Deza, Jean-Baptiste Hiriart-Urruty, and Lionel Pournin:
    Polytopal balls arising in optimization.
    Contributions to Discrete Mathematics 16 (2021) 125 - 138.

  14. Antoine Deza, Lionel Pournin, and Rado Rakotonarivo:
    The vertices of primitive zonotopes.
    Contemporary Mathematics 764 (2021) 71 - 82.

  15. Antoine Deza, Kai Huang, Hongfeng Liang, and Xiao Jiao Wang:
    On inventory allocation for periodic review assemble-to-order systems.
    Discrete Applied Mathematics 275 (2020) 29 - 41.

  16. Anna Deza, Antoine Deza, Zhongyan Guan, and Lionel Pournin:
    Distances between vertices of lattice polytopes. (Correction)
    Optimization Letters 14 (2020) 309 – 326.

  17. Antoine Deza, Lionel Pournin, and Noriyoshi Sukegawa:
    The diameter of lattice zonotopes.
    Proceedings of the American Mathematical Society 148 (2020) 3507 - 3516.

  18. Antoine Deza, Tomonari Kitahara and Noriyoshi Sukegawa (Editors):
    Advances in Optimization.
    Discrete Applied Mathematics 275 (2020) 1 - 2.

  19. Nathan Chadder and Antoine Deza:
    Computational determination of the largest lattice polytope diameter.
    Discrete Applied Mathematics 281 (2020) 106 - 110.

  20. Antoine Deza and Lionel Pournin:
    Diameter, decomposability, and Minkowski sums of polytopes.
    Canadian Mathematical Bulletin 64 (2019) 741 – 755.

  21. Antoine Deza, Asaf Levin, Syed M. Meesum, and Shmuel Onn:
    Hypergraphic degree sequences are hard.
    Bulletin of the European Association for Theoretical Computer Science 127 (2019) 63 – 64.

  22. Antoine Deza, Asaf Levin, Syed M. Meesum, and Shmuel Onn:
    Optimization over degree sequences.
    SIAM Journal on Discrete Mathematics 32 (2018) 2067 – 2079.

  23. Antoine Deza, George Manoussakis, and Shmuel Onn:
    Primitive zonotopes.
    Discrete and Computational Geometry 60 (2018) 27 – 39.

  24. Antoine Deza, Kai Huang, Hongfeng Liang, and Xiao Jiao Wang:
    On component commonality for periodic review assemble-to-order systems.
    Annals of Operations Research 265 (2018) 29 - 46.

  25. Antoine Deza and Lionel Pournin:
    Improved bounds on the diameter of lattice polytopes.
    Acta Mathematica Hungarica 154 (2018) 457 - 469.

  26. Antoine Deza and Frédéric Meunier (Editors):
    Linear Optimization.
    Discrete Applied Mathematics 240 (2018) 1 - 2.

  27. Marston Conder, Antoine Deza, and Asia Ivic Weiss (Editors):
    Discrete Geometry and Symmetry.
    Springer Proceedings in Mathematics and Statistics 234 (2018).

  28. Miguel Anjos and Antoine Deza (Editors):
    Paths, pivots, and practice: the power of optimization.
    Annals of Operations Research 265 (2018) 1 - 4.

  29. Antoine Deza, Kai Huang, and Michael Metel:
    Managing losses in exotic horse race wagering.
    Journal of the Operational Research Society 69 (2018) 319 - 325.

  30. Shinji Mizuno, Noriyoshi Sukegawa, and Antoine Deza:
    An enhanced primal-simplex based Tardos' algorithm.
    Journal of the Operations Research Society of Japan 61 (2018) 186 - 196.

  31. Antoine Deza, George Manoussakis, and Shmuel Onn:
    Small Primitive zonotopes.
    Springer Proceedings in Mathematics and Statistics 234 (2018) 87 - 107.

  32. Nathan Chadder and Antoine Deza:
    Computational determination of the largest lattice polytope diameter.
    Electronic Notes in Discrete Mathematics 62 (2017) 105-110.

  33. Shinji Mizuno, Noriyoshi Sukegawa, and Antoine Deza:
    Small degenerate simplices can be bad for simplex methods.
    Journal of the Operations Research Society of Japan 60 (2017) 419 - 428.

  34. Antoine Deza and Lionel Pournin:
    A survey on the diameter of lattice polytopes.
    Oberwolfach Reports 14 (2017) 1176 - 1179.

  35. Antoine Deza and Frantisek Franek:
    Bannai et al. method proves the d-step conjecture for strings.
    Discrete Applied Mathematics 217 (2017) 488 - 494.

  36. Antoine Deza, Frantisek Franek, and Mei Jiang:
    A computational substantiation of the d-step approach to the number of distinct squares problem.
    Discrete Applied mathematics 212 (2016) 81 – 87.

  37. Antoine Deza and Tamás Terlaky:
    Diameter and curvature – pivot and interior point methods.
    Oberwolfach Reports 12, Oberwolfach, Germany (2015) 306 – 307.

  38. Haoyue Bai, Antoine Deza, and Frantisek Franek:
    On a lemma of Crochemore and Rytter (Corrigendum).
    Journal of Discrete Algorithms 34 (2015) 18 - 22.

  39. Antoine Deza, Kai Huang, and Michael Metel:
    Imperfect demand estimation for new product production planning.
    AdvOL-Report 2015/4, McMaster University (2015).

  40. Antoine Deza, Kai Huang, and Michael Metel:
    Chance constrained optimization for targeted Internet advertising.
    Omega - International Journal of Management Science 53 (2015) 90 - 96.

  41. Shinji Mizuno, Noriyoshi Sukegawa, and Antoine Deza:
    A primal-simplex based Tardos' algorithm.
    Operations Research Letters 43 (2015) 625 - 628.

  42. Antoine Deza, Frantisek Franek, and Adrien Thierry:
    How many double squares can a string contain?
    Discrete Applied Mathematics 180 (2015) 52 - 69.

  43. Antoine Deza, Frédéric Meunier, and Pauline Sarrabezolles:
    A combinatorial approach to colourful simplicial depth.
    SIAM Journal on Discrete Mathematics 28 (2014) 306 - 322.

  44. Antoine Deza and Frantisek Franek:
    A d-step approach to the maximum number of distinct squares and runs in strings.
    Discrete Applied Mathematics 163 (2014) 268 - 274.

  45. Frédéric Meunier and Antoine Deza:
    A further generalization of the colourful Carathéodory theorem.
    Discrete Geometry and Optimization, Fields Institute Communications Series 69 (2013) 179 - 190.

  46. David Bremner, Antoine Deza, William Hua, and Lars Schewe:
    More bounds on the diameters of convex polytopes.
    Optimization Methods and Software 28 (2013) 442 - 450.

  47. Karoly Bezdek, Antoine Deza, and Yinyu Ye:
    Selected open problems in discrete geometry and optimization.
    Discrete Geometry and Optimization, Fields Institute Communications 69 (2013) 321 - 336.

  48. Andrew Baker, Antoine Deza, and Frantisek Franek:
    A computational framework for determining run-maximal strings.
    Journal of Discrete Algorithms 20 (2013) 43 - 50.

  49. Karoly Bezdek, Antoine Deza, and Yinyu Ye (Editors):
    Discrete Geometry and Optimization.
    Fields Institute Communications 69 (2013).

  50. Antoine Deza, Tamon Stephen, and Feng Xie:
    A note on lower bounds for colourful simplicial depth.
    Symmetry 5 (2013) 47 - 53.

  51. David Bremner, Antoine Deza, Hiroshi Imai, and Sonoko Moriyama (Editors):
    Special Issue on Geometry and Optimization.
    Computational Geometry 46 (2013) 493.

  52. Antoine Deza and Frantisek Franek:
    On singularities of extremal periodic strings.
    Formal Aspects of Computing 206 Shaker (2013) 125 – 134.

  53. Antoine Deza, Sonoko Moriyama, Hiroyuki Miyata, and Feng Xie:
    Hyperplane arrangements with large average diameter: a computational approach.
    Advanced Studies in Pure Mathematics 62 (2012) 59 - 74.

  54. Antoine Deza, Frantisek Franek, and Min Jing Liu:
    On a conjecture of Erdős for multiplicities of cliques.
    Journal of Discrete Algorithms 17 (2012) 9 - 14.

  55. Andrew Baker, Antoine Deza, and Frantisek Franek:
    On the structure of run-maximal strings.
    Journal of Discrete Algorithms 10 (2012) 10 - 14.

  56. Antoine Deza, Frantisek Franek, and Mei Jiang:
    A computational framework for determining square-maximal strings.
    Proceedings of Prague Stringology Conference, Prague, Czech Republic (2012) 111 - 119.

  57. Antoine Deza, Chris Dickson, Tamás Terlaky, Anthony Vannelli, and Hu Zhang:
     Global routing in VLSI design: algorithms, theory, and computational practice.
    Journal of Combinatorial Mathematics and Combinatorial Computing 80 (2012) 71 - 93.

  58. Andrew Baker, Antoine Deza, and Frantisek Franek:
    A parameterized formulation for the maximum number of runs problem.
    Festschrift for Borivoj Melichar, Czech Technical University, Prague, Czech Republic (2012) 102 - 117.

  59. Antoine Deza, Tamon Stephen, and Feng Xie:
    More colourful simplices.
    Discrete and Computational Geometry 45 (2011) 272 - 278.

  60. Antoine Deza, Frantisek Franek, and Mei Jiang:
    A d-step approach for distinct squares in strings.
    Lecture Notes in Computer Science 6661 Springer-Verlag, Berlin (2011) 77 - 89.

  61. Grant Custard, Antoine Deza, Tamon Stephen, and Feng Xie:
    Small octahedral systems.
    Proceedings of the 23rd Canadian Conference on Computational Geometry, Fields Institute, Toronto, Canada (2011) 267 - 271.

  62. Antoine Deza and Feng Xie:
    On the generalized Berge sorting conjecture.
    Journal of Discrete Algorithms 8 (2010) 1 - 7.

  63. Antoine Deza, Frantisek Franek, William Hua, Mariusz Meszka, and Alexander Rosa:
    Solutions to the Oberwolfach problem for orders 18 to 40.
    Journal of Combinatorial Mathematics and Combinatorial Computing 74 (2010) 95 - 102.

  64. Antoine Deza, Tamás Terlaky, and Yuriy Zinchenko:
    Central path curvature and iteration-complexity for redundant Klee-Minty cubes.
    Advances in Mechanics and Mathematics 17 (2009) 223 - 256.

  65. Antoine Deza and Feng Xie:
    Hyperplane arrangements with large average diameter.
    Centre de Recherches Mathématiques Series 48 (2009) 103 - 114.

  66. Antoine Deza, Tamás Terlaky, and Yuriy Zinchenko:
    A continuous d-step conjecture for polytopes.
    Discrete and Computational Geometry 41 (2009) 318 - 327.

  67. David Avis, David Bremner, and Antoine Deza (Editors):
    Polyhedral Computation.
    Centre de Recherches Mathematiques Series 48 (2009).

  68. David Bremner, Antoine Deza, and Michael Soltys (Editors):
    Selected Papers from the Franco-Canadian Workshop on Combinatorial Algorithms.
    Journal of Combinatorial Optimization 16 (2008) 323.

  69. Antoine Deza, Sui Huang, Tamon Stephen, and Tamás Terlaky:
    The colourful feasibility problem.
    Discrete Applied Mathematics 156 (2008) 2166 - 2177.

  70. Antoine Deza, Tamás Terlaky, Feng Xie, and Yuriy Zinchenko:
    Diameter and curvature: intriguing analogies.
    Electronic Notes in Discrete Mathematics 31 (2008) 221 - 225.

  71. David Bremner, Antoine Deza, and Feng Xie:
    The complexity of the envelope of line and plane arrangements.
    Optimization - Modeling and Algorithms 21 Institute of Statistical Mathematics, Tokyo, Japan (2008) 1 - 7.

  72. Antoine Deza, Tamás Terlaky, and Yuriy Zinchenko:
    Polytopes and arrangements : diameter and curvature.
    Operations Research Letters 36 (2008) 215 - 222.

  73. Antoine Deza, Eissa Nematollahi, and Tamás Terlaky:
    How good are interior point methods? Klee-Minty cubes tighten iteration-complexity bounds.
    Mathematical Programming 113 (2008) 1 - 14.

  74. Antoine Deza and Feng Xie:
    Line and plane arrangements with large average diameter.
    Proceedings of the 5th Hungarian-Japanese Symposium on Discrete Mathematics and its Applications, Sendai, Japan (2007) 106 - 111.

  75. Antoine Deza and Gabriel Indik:
    A counterexample to the dominating set conjecture.
    Optimization Letters 1 (2007) 163 - 169.

  76. Antoine Deza and William Hua:
    Berge sorting.
    Pacific Journal of Optimization 3 (2007) 27 - 35.

  77. David Avis, and Antoine Deza:
    Un des "problèmes plaisans et délectables" de Claude Berge.
    Discrete Mathematics 306 (2006) 2299 - 2302.

  78. Antoine Deza, Eissa Nematollahi, Reza Peyghami, and Tamás Terlaky:
    The central path visits all the vertices of the Klee-Minty cube.
    Optimization Methods and Software 21 (2006) 851 - 865.

  79. Antoine Deza, Sui Huang, Tamon Stephen, and Tamás Terlaky:
    Colourful simplicial depth.
    Discrete and Computational Geometry 35 (2006) 597 - 615.

  80. Antoine Deza, Boris Goldengorin, and Dmitrii Pasechnik:
    The isometries of the cut, metric and hypermetric cones.
    Journal of Algebraic Combinatorics 23 (2006) 197 - 203.

  81. Antoine Deza, Komei Fukuda, Tomohiko Mizutani, and Cong Vo:
    On the face-lattice of the metric polytope.
    Lecture Notes in Computer Science 2866 Springer-Verlag, Berlin (2003) 118 - 128.

  82. Antoine Deza and Shmuel Onn:
    Solitaire lattices.
    Graphs and Combinatorics 18 (2002) 227 - 243.

  83. Antoine Deza, Tomohiko Mizutani, and Dmitrii Pasechnik:
    Enumerating faces of polyhedra with large symmetry group.
    Optimization - Modeling and Algorithms 15 Institute of Statistical Mathematics, Tokyo, Japan (2002) 179 - 185.

  84. David Avis and Antoine Deza:
    On the binary solitaire cone.
    Discrete Applied Mathematics 115 (2001) 3 - 14.

  85. Antoine Deza, Komei Fukuda, Dmitrii Pasechnik, and Masanori Sato:
    On the skeleton of the metric polytope.
    Lecture Notes in Computer Science 2098 Springer-Verlag, Berlin (2001) 125 - 136.

  86. David Avis and Antoine Deza:
    On the solitaire cone and its relationship to multi-commodity flows.
    Mathematical Programming 90 (2001) 27 - 57.

  87. Antoine Deza, Komei Fukuda, Dmitrii Pasechnik, and Masanori Sato:
    Generating vertices with symmetries.
    Proceedings of the 5th Workshop on Algorithms and Computation, Tokyo University, Japan (2000) 1 - 8.

  88. David Avis, Antoine Deza, and Shmuel Onn:
    A combinatorial approach to the solitaire game.
    IEICE Transactions E83-A (2000) 656 - 661.

  89. Antoine Deza:
    Necessary conditions for solitaire feasibility.
    Optimization - Modeling and Algorithms 13 Institute of Statistical Mathematics, Tokyo, Japan (2000) 200 - 215.

  90. Antoine Deza and Shmuel Onn:
    Odd central square solitaire.
    Kokyuroku 1114 Research Institute for Mathematical Sciences, Kyoto University, Japan (1999) 96 - 105.

  91. Antoine Deza, Michel Deza, and Viatcheslav Grishukhin:
    Fullerenes and coordinations polyhedra versus half-cubes embeddings.
    Discrete Mathematics 192 (1998) 41 - 80.

  92. Antoine Deza, Michel Deza, and Komei Fukuda:
    On skeletons, diameters and volumes of metric polyhedra.
    Lecture Notes in Computer Science 1120 Springer-Verlag, Berlin (1996) 112 - 128.

  93. Antoine Deza and Michel Deza:
    The combinatorial structure of small cut and metric polytopes.
    Combinatorics and Graph Theory 95 World Scientific, Singapore (1995) 70 - 88.

  94. Antoine Deza and Michel Deza:
    Skeletons of some polytopes related to the n-cube.
    Selected Papers of the Berlin International Conference on Operations Research Springer-Verlag (1995) 81 - 85.

  95. Antoine Deza and Michel Deza:
    On the skeleton of the dual cut polytope.
    Contemporary Mathematics 178 (1994) 101 - 111.

  96. Antoine Deza:
    Shape of the equicut polytope.
    Optimization - Modeling and Algorithms 61 - 5 Institute of Statistical Mathematics, Tokyo, Japan (1994) 81 - 87.

  97. Antoine Deza, Komei Fukuda, and Vera Rosta:
    Wagner's theorem and combinatorial enumeration of 3-polytopes.
    Kokyuroku 872 Research Institute for Mathematical Sciences, Kyoto University, Japan (1994) 30 - 34.

  98. Antoine Deza and Michel Deza:
    The ridge graph of the metric polytope and some relatives.
    Polytopes: Abstract, Convex and Computational, NATO ASI Series, Kluwer (1994) 359 - 372.

  99. Antoine Deza:
    On lower bound for general convex polytopes.
    Mathematica Japonica 40 (1994) 371 - 380.

  100. Antoine Deza and Komei Fukuda:
    McMullen's conditions and some lower bounds for general convex polytopes.
    Geometriae Dedicata 52 (1994) 165 - 173.

Selected Talks