A Minimal Critical Set of a Class of Youden Squares

Authors

L. Fitina, University of Wollongong
Ken Russell, University of WollongongFollow
Jennifer Seberry, University of WollongongFollow

RIS ID

17739

Publication Details

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.