A Minimal Critical Set of a Class of Youden Squares

L. Fitina, University of Wollongong
K. G. Russell, University of Wollongong
J. Seberry, University of Wollongong

Article comments

This article was originally published as Fitina, L, Russell, KG and Seberry, J, A Minimal Critical Set of a Class of Youden Squares, Utilitas Mathematica, 2006 (in press).

Abstract

We consider the Youden square formed by deleting one row of a v x v back-circulant Latin square and establish a critical set that contains a number of elements which is equal to v2/4 (v even) or (v2 — 1)/4 (v odd). We show that this critical set is minimal, for v even.