Prof. Dr. Timm Oertel

2024

• Aliev I., Henk M., Hogan M., Kuhlmann S., Oertel T.:
  New Bounds for the Integer Carathéodory Rank
  In: SIAM Journal on Optimization 34 (2024), p. 190-200
  ISSN: 1052-6234
  DOI: 10.1137/23M1561312

2023

• Oertel T., Paat J., Weismantel R.:
  A colorful Steinitz Lemma with application to block-structured integer programs
  In: Mathematical Programming (2023)
  ISSN: 0025-5610
  DOI: 10.1007/s10107-023-01971-3

2021

• Aliev I., Averkov G., De Loera JA., Oertel T.:
  Sparse representation of vectors in lattices and semigroups
  In: Mathematical Programming (2021)
  ISSN: 0025-5610
  DOI: 10.1007/s10107-021-01657-8

2020

• Aliev I., Averkov G., De Loera JA., Oertel T.:
  Optimizing Sparsity over Lattices and Semigroups
  21st International Conference on Integer Programming and Combinatorial Optimization, IPCO 2020 (London, 8. June 2020 - 10. June 2020)
  In: Daniel Bienstock, Giacomo Zambelli (ed.): Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 2020
  DOI: 10.1007/978-3-030-45771-6_4
• Aliev I., Henk M., Oertel T.:
  Distances to lattice points in knapsack polyhedra
  In: Mathematical Programming 182 (2020), p. 175-198
  ISSN: 0025-5610
  DOI: 10.1007/s10107-019-01392-1
• Oertel T., Paat J., Weismantel R.:
  The distributions of functions related to parametric integer optimization
  In: SIAM Journal on Applied Algebra and Geometry 4 (2020), p. 422-440
  ISSN: 2470-6566
  DOI: 10.1137/19M1275954

2019

• Oertel T., Paat J., Weismantel R.:
  Sparsity of Integer Solutions in the Average Case
  20th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2019 (Ann Arbor, MI, 22. May 2019 - 24. May 2019)
  In: Andrea Lodi, Viswanath Nagarajan (ed.): Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 2019
  DOI: 10.1007/978-3-030-17953-3_26

2018

• Aliev I., De Loera JA., Eisenbrand F., Oertel T., Weismantel R.:
  The support of integer optimal solutions
  In: SIAM Journal on Optimization 28 (2018), p. 2152-2157
  ISSN: 1052-6234
  DOI: 10.1137/17M1162792

2017

• Aliev I., De Loera JA., Oertel T., O'Neill C.:
  Sparse solutions of linear diophantine equations
  In: SIAM Journal on Applied Algebra and Geometry 1 (2017), p. 239-253
  ISSN: 2470-6566
  DOI: 10.1137/16M1083876
• Aliev I., Henk M., Oertel T.:
  Integrality gaps of integer knapsack problems
  19th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2017 (Waterloo, ON, CAN, 26. June 2017 - 28. June 2017)
  In: Friedrich Eisenbrand, Jochen Koenemann (ed.): Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 2017
  DOI: 10.1007/978-3-319-59250-3_3
• Basu A., Oertel T.:
  Centerpoints: A link between optimization and convex geometry
  In: SIAM Journal on Optimization 27 (2017), p. 866-889
  ISSN: 1052-6234
  DOI: 10.1137/16M1092908

2016

• Artmann S., Eisenbrand F., Glanzer C., Oertel T., Vempala S., Weismantel R.:
  A note on non-degenerate integer programs with small sub-determinants
  In: Operations Research Letters 44 (2016), p. 635-639
  ISSN: 0167-6377
  DOI: 10.1016/j.orl.2016.07.004
• Baes M., Oertel T., Weismantel R.:
  Duality for mixed-integer convex minimization
  In: Mathematical Programming 158 (2016), p. 547-564
  ISSN: 0025-5610
  DOI: 10.1007/s10107-015-0917-y
• Basu A., Oertel T.:
  Centerpoints: A link between optimization and convex geometry
  18th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2016 (Liege, BEL, 1. June 2016 - 3. June 2016)
  In: Martin Skutella, Quentin Louveaux (ed.): Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 2016
  DOI: 10.1007/978-3-319-33461-5_2

2015

• Adjiashvili D., Oertel T., Weismantel R.:
  A polyhedral frobenius theorem with applications to integer optimization
  In: SIAM Journal on Discrete Mathematics 29 (2015), p. 1287-1302
  ISSN: 0895-4801
  DOI: 10.1137/14M0973694
• Hildebrand R., Oertel T., Weismantel R.:
  Note on the complexity of the mixed-integer hull of a polyhedron
  In: Operations Research Letters 43 (2015), p. 279-282
  ISSN: 0167-6377
  DOI: 10.1016/j.orl.2015.03.002

2014

• Oertel T., Wagner C., Weismantel R.:
  Integer convex minimization by mixed integer linear optimization
  In: Operations Research Letters 42 (2014), p. 424-428
  ISSN: 0167-6377
  DOI: 10.1016/j.orl.2014.07.005

2013

• Baes M., Oertel T., Wagner C., Weismantel R.:
  Mirror-descent methods in mixed-integer convex optimization
  In: Michael Jünger, Gerhard Reinelt (ed.): Facets of Combinatorial Optimization, Berlin, Heidelberg: Springer-Verlag, 2013, p. 101-131
  ISBN: 9783642381898
  DOI: 10.1007/978-3-642-38189-8_5