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Relaxed complete partitions: an error-correcting Bachet's problem

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Publication:5384252
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zbMath1450.11106arXiv1010.5485MaRDI QIDQ5384252

Edwin O'Shea, Jorge L. Bruno

Publication date: 21 June 2019

Full work available at URL: https://arxiv.org/abs/1010.5485


zbMATH Keywords

Brion's formulalattice points in polyhedrarelaxed complete partitionsenumeration of minimal partitions


Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)


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Cites Work

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  • Fibonacci's \textit{Liber abaci}. A translation into modern English of Leonardo Pisano's \textit{Book of calculation}. Transl. from the Latin and with an introduction, notes and bibliography by L. E. Sigler
  • Lecture hall partitions. II
  • The \(r\)-complete partitions
  • \(M\)-partitions: optimal partitions of weight for one scale pan
  • Enumeration of \(M\)-partitions
  • Computing the Continuous Discretely
  • Points entiers dans les polyèdres convexes
  • Partition identities and geometric bijections
  • Note on Complete Sequences of Integers


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