MAXIMUM GENUS EMBEDDINGS OF LATIN SQUARES

MAXIMUM GENUS EMBEDDINGS OF LATIN SQUARES

It is proved that every non-trivial Latin square has an upper embedding in a non-orientable surface and every Latin square of odd order has an upper embedding in an orientable surface. In the latter case, detailed results about the possible automorphisms and their actions are also obtained.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Glasgow mathematical journal 2018-05, Vol.60 (2), p.495-504
Hauptverfasser: GRIGGS, TERRY S., PSOMAS, CONSTANTINOS, ŠIRÁŇ, JOZEF
Format: Artikel
Sprache:eng
Schlagworte:
Arrays
Automorphisms
Embedding
Latin square design
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:It is proved that every non-trivial Latin square has an upper embedding in a non-orientable surface and every Latin square of odd order has an upper embedding in an orientable surface. In the latter case, detailed results about the possible automorphisms and their actions are also obtained.
ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089517000234