Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Browse by Current Cardiff authors

[up] Up a level
Number of items: 37.

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207, Celaya, Marcel ORCID: https://orcid.org/0000-0003-3480-4835 and Henk, Martin 2025. Sparsity and proximity transference in integer programming. Mathematical Programming 10.1007/s10107-024-02191-z
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207, Celaya, Marcel ORCID: https://orcid.org/0000-0003-3480-4835 and Henk, Martin 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. Published in: Vygen, Jens and Byrka, Jaroslaw 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
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207, Henk, Martin, Hogan, Mark, Kuhlmann, Stefan and Oertel, Timm 2024. New bounds for the integer Caratheodory rank. SIAM Journal on Optimization 34 (1) , pp. 190-200. 10.1137/23M1561312
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 and Henk, Martin 2023. Minkowski’s successive minima in convex and discrete geometry. Communications in Mathematics 31 (2) , 3. 10.46298/cm.11155
file

Alasmari, Abdullah and Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 2022. On unique recovery of finite‑valued integer signals and admissible lattices of sparse hypercubes. Optimization Letters 10.1007/s11590-022-01927-0
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207, Averkov, Gennadiy, Loera, Jesús A. De and Oertel, Timm ORCID: https://orcid.org/0000-0001-5720-8978 2022. Sparse representation of vectors in lattices and semigroups. Mathematical Programming 192 , pp. 519-546. 10.1007/s10107-021-01657-8
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 2021. On the volume of hyperplane sections of a d-CUBE. Acta Mathematica Hungarica 163 , pp. 547-551. 10.1007/s10474-020-01057-y
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207, Celaya, Marcel, Henk, Martin and Williams, Aled 2021. Distance-sparsity transference for vertices of corner polyhedra. SIAM Journal on Optimization 31 (1) 10.1137/20M1353228
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207, Henk, Martin and Oertel, Timm ORCID: https://orcid.org/0000-0001-5720-8978 2020. Distances to lattice points in knapsack polyhedra. Mathematical Programming 182 (1-2) , pp. 175-198. 10.1007/s10107-019-01392-1
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207, Averkov, Gennadiy, De Lora, Jesus A. and Oertel, Timm ORCID: https://orcid.org/0000-0001-5720-8978 2020. Optimizing sparsity over lattices and semigroups. Lecture Notes in Computer Science
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 2019. On polynomial-time solvable linear Diophantine problems. Moscow Journal of Combinatorics and Number Theory 8 (4) , pp. 357-365.
file

Aliev, I. ORCID: https://orcid.org/0000-0002-2206-9207, De Loera, J. A., Eisenbrand, F., Oertel, T. ORCID: https://orcid.org/0000-0001-5720-8978 and Weismantel, R. 2018. The support of integer optimal solutions. SIAM Journal on Optimization 28 (3) , pp. 2152-2157. 10.1137/17M1162792
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207, Bassett, Robert, De Loera, Jesus A. and Louveaux, Quentin 2017. A quantitative Doignon-Bell-Scarf theorem. Combinatorica 37 , pp. 313-332. 10.1007/s00493-015-3266-9
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207, Henk, Martin and Oertel, Timm ORCID: https://orcid.org/0000-0001-5720-8978 2017. Integrality gaps of integer knapsack problems. Lecture Notes in Computer Science 10328 , pp. 25-38. 10.1007/978-3-319-59250-3_3
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207, Loera, Jesus De, Oertel, Timm ORCID: https://orcid.org/0000-0001-5720-8978 and O'Neill, Christopher 2017. Sparse solutions of linear diophantine equations. SIAM Journal on Applied Algebra and Geometry 1 (1) , pp. 239-253. 10.1137/16M1083876
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 2016. A sharp upper bound for the Lattice Programming Gap. Moscow Journal of Combinatorics and Number Theory 6 (2-3) , pp. 121-129.
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207, De Loera, Jesus and Louveaux, Quentin 2016. Parametric polyhedra with at least k lattice points: their semigroup structure and the k-Frobenius problem. Beveridge, A., Griggs, J. R., Hogben, L., Musiker, G. and Tetali, P., eds. Recent Trends in Combinatorics, The IMA Volumes in Mathematics and its Applications, Springer, pp. 753-778. (10.1007/978-3-319-24298-9_29)

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 2015. On the lattice programming gap of the group problems. Operations Research Letters 43 (2) , pp. 199-202. 10.1016/j.orl.2015.01.008
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 and Mohammed, Dilbak 2015. On the distance between Frobenius numbers. Moscow Journal of Combinatorics and Number Theory 5 (4) , pp. 205-214.
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 and Letchford, Adam 2014. Iterated Chvátal--Gomory cuts and the geometry of numbers. SIAM Journal on Optimization 24 (3) , pp. 1294-1312. 10.1137/130926389
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207, Henk, Martin and Linke, Eva 2013. Integer points in knapsack polytopes and s-covering radius. Electronic Journal of Combinatorics 20 (2) , P42.

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 and Henk, Martin 2012. LLL-reduction for integer knapsacks. Journal of Combinatorial Optimization 24 (4) , pp. 613-626. 10.1007/s10878-011-9411-5

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 and Smyth, Chris 2012. Solving algebraic equations in roots of unity. Forum Mathematicum 24 (3) , pp. 641-665. 10.1515/form.2011.087
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207, Fukshansky, Lenny and Henk, Martin 2012. Generalized Frobenius numbers: bounds and average behavior. Acta Arithmetica 155 , pp. 53-62.
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207, Henk, Martin and Hinrichs, Aicke 2011. Expected Frobenius numbers. Journal of Combinatorial Theory, Series A 118 (2) , pp. 525-531. 10.1016/j.jcta.2009.12.012

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 and Henk, Martin 2010. Feasibility of integer knapsacks. Siam Journal of Optimization 20 (6) , pp. 2978-2993. 10.1137/090778043
file

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 and Henk, Martin 2009. Integer knapsacks: average behavior of the Frobenius numbers. Mathematics of Operations Research 34 (3) , pp. 698-705. 10.1287/moor.1090.0393

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 2008. Siegel's lemma and sum-distinct sets. Discrete & Computational Geometry 39 (1-3) , pp. 59-66. 10.1007/s00454-008-9059-9

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 and Gruber, Peter M. 2007. An optimal lower bound for the Frobenius problem. Journal of Number Theory 123 (1) , pp. 71-79. 10.1016/j.jnt.2006.05.020

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 and Gruber, Peter M. 2006. Lattice points in large Borel sets and successive minima. Discrete & Computational Geometry 35 (3) , pp. 429-435. 10.1007/s00454-005-1228-5

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 and Henk, Martin 2006. Successive minima and best simultaneous Diophantine approximations. Monatshefte für Mathematik 147 (2) , pp. 95-101. 10.1007/s00605-005-0344-x

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 and Gruber, Peter M. 2006. Best simultaneous diophantine approximations under a constraint on the denominator. Contributions to Discrete Mathematics 1 (1) , pp. 29-46.

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207, Schinzel, A. and Schmidt, W. M. 2005. On vectors whose span contains a given linear subspace. Monatshefte für Mathematik 144 (3) , pp. 177-191. 10.1007/s00605-004-0267-y

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 2002. On a decomposition of integer vectors, II. Acta Arithmetica 57 (2) , pp. 159-164.

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 2001. On a decomposition of integer vectors, I. Bulletin of the Polish Academy of Sciences Mathematics 49 , pp. 141-146.

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 1999. Weyl sequences: asymptotic distributions of the partition lengths. Acta Arithmetica 88 (4) , pp. 351-361.

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207, Kanemitsu, Shigeru and Schinzel, Andrzej 1998. On the metric theory of continued fractions. Colloquium Mathematicum 77 , pp. 141-145.

This list was generated on Sun Nov 2 10:31:27 2025 GMT.


Maintained by Cardiff University IT