Some enumerational results relating the numbers of latin and frequency squares of order n

Francis N. Castro, Gary Lee Mullen, Ivelisse Rubio

Research output: Contribution to journalArticle

Abstract

We discuss some enumerational results relating the numbers of F(n; λ 1, ..., λ m) and F(n; λ' 1, ..., λ' k) frequency squares of order n. In particular, for any frequency vector (λ 1, ..., λ m) of n, we discuss some enumerational results relating the number of F(n; λ 1, ..., λ m) frequency squares and the number of latin squares of order n. In Section 4 we also discuss some enumera- tional results for latin rectangles.

Original languageEnglish (US)
Pages (from-to)37-52
Number of pages16
JournalQuasigroups and Related Systems
Volume20
Issue number1
StatePublished - Jun 28 2012

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics

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