Incomplete Diagonals of Latin Squares
- 1 April 1969
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 12 (2) , 235
- https://doi.org/10.4153/cmb-1969-030-5
Abstract
The following question has been asked by J. Dénes [2]: If n - 1 elements of the diagonal of an n × n array are prescribed, is it possible to complete the array to form an n × n latin square?" It is known that if n diagonal elements are given such a completion is not always possible.That the answer to Dénes' question is yes follows directly from a theorem of M. Hall Jr. [1].Keywords
This publication has 1 reference indexed in Scilit:
- A combinatorial problem on abelian groupsProceedings of the American Mathematical Society, 1952