Deranged Matchings: Proofs and Conjectures

Daniel Johnston, P. Mark Kayll, Cory Palmer

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)95-111
Number of pages17
JournalAmerican Mathematical Monthly
Volume131
Issue number2
DOIs
StatePublished - 2024

Keywords

  • 05C70
  • 40A05
  • Primary 05C30
  • Secondary 05A16

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