A bijective toolkit for signed partitions
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Publication:659619
DOI10.1007/S00026-011-0085-6zbMath1233.05031OpenAlexW1968892022WikidataQ114231918 ScholiaQ114231918MaRDI QIDQ659619
Publication date: 24 January 2012
Published in: Annals of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00026-011-0085-6
Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)
Related Items (12)
A new discrete dynamical system of signed integer partitions ⋮ The adjacency matrix of a graph as a data table: a geometric perspective ⋮ Parallel rank of two sandpile models of signed integer partitions ⋮ A discrete dynamical model of signed partitions ⋮ Real subset sums and posets with an involution ⋮ Parallel and sequential dynamics of two discrete models of signed integer partitions ⋮ Simplicial complexes and closure systems induced by indistinguishability relations ⋮ On Some Combinatorics of Rogers–Ramanujan Type Identities Using Signed Color Partitions ⋮ Dominance order on signed integer partitions ⋮ Sand piles models of signed partitions with \(d\) piles ⋮ Decision systems in rough set theory: A set operatorial perspective ⋮ On weighted signed color partitions
Cites Work
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- Partition bijections, a survey
- A bijection for Lebesgue's partition identity in the spirit of Sylvester
- The \(q\)-variations of Sylvester's bijection between odd and strict partitions
- Two theorems of Gauss and allied identities proved arithmetically
- A determinant identity that implies Rogers-Ramanujan
- A combinatorial proof of Andrews’ partition functions related to Schur’s partition theorem
- Euler’s “De Partitio Numerorum”
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