Publication
2024
- Celaya, M., Kuhlmann, S., Paat, J. and Weismantel, R. 2024. Proximity and flatness bounds for linear integer optimization. Mathematics of Operations Research 49(4), pp. 2446-2467. (10.1287/moor.2022.0335)
- Aliev, I., Celaya, M. and Henk, M. 2024. Sparsity and integrality gap transference bounds for integer programs. Presented at: IPCO 2024: The 25th Conference on Integer Programming and Combinatorial Optimization, Wroclaw, Poland, 3-5 July 2024 Presented at Vygen, J. and Byrka, J. eds.Integer Programming and Combinatorial Optimization: 25th International Conference, IPCO 2024, Wroclaw, Poland, July 3–5, 2024, Proceedings. Association for Computing Machinery pp. 1-13., (10.1007/978-3-031-59835-7_1)
- Celaya, M., Kuhlmann, S. and Weismantel, R. 2024. On matrices over a polynomial ring with restricted subdeterminants. Presented at: IPCO 2024: The 25th Conference on Integer Programming and Combinatorial Optimization, Poland, 3 - 5 July 2024Integer Programming and Combinatorial Optimization. IPCO 2024, Vol. 14679. Lecture Notes in Computer Science, Cham, Switzerland: Springer pp. 43-56., (10.1007/978-3-031-59835-7_4)
- Celaya, M., Loho, G. and Yuen, C. H. 2024. Oriented matroids from triangulations of products of simplices. Selecta Mathematica (New Series) 30, article number: 47. (10.1007/s00029-024-00938-2)
2023
- Celaya, M. and Henk, M. 2023. Proximity bounds for random integer programs. Mathematical Programming 197, pp. 1201-1219. (10.1007/s10107-022-01786-8)
2022
- Celaya, M., Kuhlmann, S., Paat, J. and Weismantel, R. 2022. Improving the Cook et al. proximity bound given integral valued constraints. In: Aardal, K. and Sanità, L. eds. Integer Programming and Combinatorial Optimization. IPCO 2022.., Vol. 13625. Lecture Notes in Computer Science Cham: Springer, pp. 84-97., (10.1007/978-3-031-06901-7_7)
Articles
- Celaya, M., Kuhlmann, S., Paat, J. and Weismantel, R. 2024. Proximity and flatness bounds for linear integer optimization. Mathematics of Operations Research 49(4), pp. 2446-2467. (10.1287/moor.2022.0335)
- Celaya, M., Loho, G. and Yuen, C. H. 2024. Oriented matroids from triangulations of products of simplices. Selecta Mathematica (New Series) 30, article number: 47. (10.1007/s00029-024-00938-2)
- Celaya, M. and Henk, M. 2023. Proximity bounds for random integer programs. Mathematical Programming 197, pp. 1201-1219. (10.1007/s10107-022-01786-8)
Book sections
- Celaya, M., Kuhlmann, S., Paat, J. and Weismantel, R. 2022. Improving the Cook et al. proximity bound given integral valued constraints. In: Aardal, K. and Sanità, L. eds. Integer Programming and Combinatorial Optimization. IPCO 2022.., Vol. 13625. Lecture Notes in Computer Science Cham: Springer, pp. 84-97., (10.1007/978-3-031-06901-7_7)
Conferences
- Aliev, I., Celaya, M. and Henk, M. 2024. Sparsity and integrality gap transference bounds for integer programs. Presented at: IPCO 2024: The 25th Conference on Integer Programming and Combinatorial Optimization, Wroclaw, Poland, 3-5 July 2024 Presented at Vygen, J. and Byrka, J. eds.Integer Programming and Combinatorial Optimization: 25th International Conference, IPCO 2024, Wroclaw, Poland, July 3–5, 2024, Proceedings. Association for Computing Machinery pp. 1-13., (10.1007/978-3-031-59835-7_1)
- Celaya, M., Kuhlmann, S. and Weismantel, R. 2024. On matrices over a polynomial ring with restricted subdeterminants. Presented at: IPCO 2024: The 25th Conference on Integer Programming and Combinatorial Optimization, Poland, 3 - 5 July 2024Integer Programming and Combinatorial Optimization. IPCO 2024, Vol. 14679. Lecture Notes in Computer Science, Cham, Switzerland: Springer pp. 43-56., (10.1007/978-3-031-59835-7_4)