Small latin squares, quasigroups, and loops

By Brendan D. McKay, Alison M. Meynert, Wendy J. Myrvold. 2007

173 citations recorded by the source corpus.

Subfields: Electrical and Electronic Engineering, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/ec13cf61ffd0ea51e79e67174b4d9edc742f0978

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Electrical and Electronic Engineering

1. Ian M. Wanless
2. Brendan D. McKay

In Geometry and Topology

1. Ian M. Wanless
2. Brendan D. McKay

Citations in the corpus

• On the Number of Latin Squares (2005, methodology): “order n which have a non-trivial autoparatopy group is no more than n−3n2/8+o(n2). (1) Proof. Suppose that a Latin square L = (ℓij) of order n has a non-trivial autoparatopy group. Then by Lemma 4 in [11], L has a autoparatopism α which fixes (pointwise) no more than one quarter of the triples of L. ”