Some enumerational results relating the numbers of latin and frequency squares of order n
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CASTRO, Francis, MULLEN, Gary, RUBIO, Ivelisse. Some enumerational results relating the numbers of latin and frequency squares of order n. In: Quasigroups and Related Systems, 2012, vol. 20, nr. 1(27), pp. 37-52. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 20, Numărul 1(27) / 2012 / ISSN 1561-2848

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

Pag. 37-52

Castro Francis1, Mullen Gary2, Rubio Ivelisse1
 
1 University of Puerto Rico,
2 The Pennsylvania State University
 
 
Disponibil în IBN: 25 februarie 2014


Rezumat

We discuss some enumerational results relating the numbers of F(n; 1, ..., m) and F(n; 0 1, ..., 0 k) frequency squares of order n. In particular, for any frequency vector (1, ..., m) of n, we discuss some enumerational results relating the number of F(n; 1, ..., m) frequency squares and the number of latin squares of order n. In Section 4 we also discuss some enumerational results for latin rectangles.

Cuvinte-cheie
Latin square,

frequency square, latin rectangle.