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Aliev, Iskander, 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
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Aliev, Iskander, Henk, Martin and Oertel, Timm
2020.
Distances to lattice points in knapsack polyhedra.
Mathematical Programming
182
10.1007/s10107-019-01392-1
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Aliev, Iskander
2020.
On the volume of hyperplane sections of a d-CUBE.
Acta Mathematica Hungarica
10.1007/s10474-020-01057-y
Item availability restricted. |
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Aliev, Iskander, Averkov, Gennadiy, De Lora, Jesus A. and Oertel, Timm
2020.
Optimizing sparsity over lattices and semigroups.
Lecture Notes in Computer Science
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Aliev, Iskander 2019. On polynomial-time solvable linear Diophantine problems. Moscow Journal of Combinatorics and Number Theory 8 (4) , pp. 357-365. |
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Aliev, I., De Loera, J. A., Eisenbrand, F., Oertel, T. and Weismantel, R.
2018.
The support of integer optimal solutions.
SIAM Journal on Optimization
28
(3)
, pp. 2152-2157.
10.1137/17M1162792
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Aliev, Iskander, 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
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Aliev, Iskander, Loera, Jesus De, Oertel, Timm 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 |
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Aliev, Iskander, Henk, Martin and Oertel, Timm 2017. Integrality gaps of integer knapsack problems. Lecture Notes in Computer Science 10328 , pp. 25-38. 10.1007/978-3-319-59250-3_3 |
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Aliev, Iskander
2016.
A sharp upper bound for the Lattice Programming Gap.
Moscow Journal of Combinatorics and Number Theory
6
(2-3)
, pp. 121-129.
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Aliev, Iskander, De Loera, Jesus and Louveaux, Quentin 2016. Parametric polyhedra with at least k lattice points: their semigroup structure and the k-Frobenius problem. In: 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) |
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Aliev, Iskander 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 |
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Aliev, Iskander and Mohammed, Dilbak 2015. On the distance between Frobenius numbers. Moscow Journal of Combinatorics and Number Theory 5 (4) , pp. 205-214. |
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Aliev, Iskander 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
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Aliev, Iskander, Henk, Martin and Linke, Eva 2013. Integer points in knapsack polytopes and s-covering radius. Electronic Journal of Combinatorics 20 (2) , P42. |
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Aliev, Iskander and Henk, Martin 2012. LLL-reduction for integer knapsacks. Journal of Combinatorial Optimization 24 (4) , pp. 613-626. 10.1007/s10878-011-9411-5 |
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Aliev, Iskander and Smyth, Chris 2012. Solving algebraic equations in roots of unity. Forum Mathematicum 24 (3) , pp. 641-665. 10.1515/form.2011.087 |
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Aliev, Iskander, Fukshansky, Lenny and Henk, Martin 2012. Generalized Frobenius numbers: bounds and average behavior. Acta Arithmetica 155 , pp. 53-62. |
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Aliev, Iskander, 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 |
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Aliev, Iskander and Henk, Martin 2010. Feasibility of integer knapsacks. Siam Journal of Optimization 20 (6) , pp. 2978-2993. 10.1137/090778043 |
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Aliev, Iskander 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 |
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Aliev, Iskander 2008. Siegel's lemma and sum-distinct sets. Discrete & Computational Geometry 39 (1-3) , pp. 59-66. 10.1007/s00454-008-9059-9 |
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Aliev, Iskander 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 |
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Aliev, Iskander 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 |
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Aliev, Iskander 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 |
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Aliev, Iskander and Gruber, Peter M. 2006. Best simultaneous diophantine approximations under a constraint on the denominator. Contributions to Discrete Mathematics 1 (1) , pp. 29-46. |
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Aliev, Iskander, 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 |
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Aliev, Iskander 2002. On a decomposition of integer vectors, II. Acta Arithmetica 57 (2) , pp. 159-164. |
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Aliev, Iskander 2001. On a decomposition of integer vectors, I. Bulletin of the Polish Academy of Sciences Mathematics 49 , pp. 141-146. |
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Aliev, Iskander and Zhigljavsky, Anatoly 1999. Weyl sequences: asymptotic distributions of the partition lengths. Acta Arithmetica 88 (4) , pp. 351-361. |
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Aliev, Iskander, Kanemitsu, Shigeru and Schinzel, Andrzej 1998. On the metric theory of continued fractions. Colloquium Mathematicum 77 , pp. 141-145. |
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