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Some efficiently solvable problems over integer partition polytopes

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Publication:476314
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DOI10.1016/j.dam.2014.08.015zbMath1303.05012OpenAlexW1978661177MaRDI QIDQ476314

Vladimir A. Shlyk, Shmuel Onn

Publication date: 28 November 2014

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2014.08.015


zbMATH Keywords

integer partitionsinteger partition polytopeseparation problemvertex adjacency


Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)


Related Items

Number of Vertices of the Polytope of Integer Partitions and Factorization of the Partitioned Number ⋮ Extension complexity of formal languages



Cites Work

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  • Large sparse numerical optimization
  • Polyhedral proof methods in combinatorial optimization
  • A polynomial-time algorithm, based on Newton's method, for linear programming
  • Geometric algorithms and combinatorial optimization.
  • Optimal integer partitions
  • Polytopes of partitions of numbers
  • Polyhedral Characterization of Discrete Dynamic Programming
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