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Deranged Matchings: Proofs and Conjectures.

Authors :
Johnston, Daniel
Kayll, P. Mark
Palmer, Cory
Source :
American Mathematical Monthly. Feb2024, Vol. 131 Issue 2, p95-111. 17p.
Publication Year :
2024

Abstract

We introduce, and partially resolve, a conjecture that brings a three-centuries-old derangements phenomenon and its much younger two-decades-old analogue under the same umbrella. Our tools blend combinatorics and analysis in a medley incorporating Inclusion-Exclusion and Tannery's theorem. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*LOGICAL prediction
*COMBINATORICS
*TANNERIES
*UMBRELLAS

Details

Language :
English
ISSN :
00029890
Volume :
131
Issue :
2
Database :
Academic Search Index
Journal :
American Mathematical Monthly
Publication Type :
Academic Journal
Accession number :
175069384
Full Text :
https://doi.org/10.1080/00029890.2023.2274239
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Authors Abstract Subjects Details