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Advances in Mathematics
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Producing New Bijections from Old

Producing new bijections from old
descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1995 English Publisher:Elsevier BVJournal:Advances in Mathematics, volume 113, pages 1-44 (issn: 0001-8708, Copyright policy )
Authors: Feldman, D.; Propp, J.;

doi: 10.1006/aima.1995.1034

Producing New Bijections from Old

Abstract

It is investigated when a bijection between finite sets \(A\), \(B\) can be constructed from a bijection between \(F(A)\) and \(F(B)\) for some \(F\). A very general category setting is exhibited and then applied to the cases of disjoint union, product, and power.

Related Organizations
Keywords

Mathematics(all), Relational systems, laws of composition, bijection, category, Categories of algebras, Combinatorial identities, bijective combinatorics, cancellation

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
hybrid