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Atomic Latin Squares of Order Eleven

Date

Authors

Wanless, Ian

Maenhaut, Barbara

Publisher

John Wiley & Sons Inc

Abstract

A Latin square is pan-Hamiltonian if the permutation which defines row i relative to row j consists of a single cycle for every i ≠ j. A Latin square is atomic if all of its conjugates are pan-Hamiltonian. We give a complete enumeration of atomic square

Keywords

Keywords: Diagonally-cyclic Latin squares; Latin squares; Mutually orthogonal Latin squares; Orthogonal arrays; Perfect 1-factorizations; Self-orthogonal Latin squares; Tactical representation

URI

http://hdl.handle.net/1885/82810

Collections

ANU Research Publications

Source

Journal of Combinatorial Designs

Type

Journal article

DOI

10.1002/jcd.10064

Restricted until

2037-12-31

Downloads

File

Description

01_Wanless_Atomic_Latin_Squares_of_Order_2004.pdf (200.91 KB)

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