An automorphism group G of a 1-factorization of the complete multipartite graph Km×n consists of permutations of the vertices of the graph mapping factors to factors. In this paper, we give a complete answer to the existence problem of a 1-factorization of Km×n admitting a cyclic or dihedral group acting sharply transitively on the vertices of the graph.

Cyclic and dihedral 1-factorizations of complete multipartite graphs / M., Bogaerts; Mazzuoccolo, Giuseppe. - In: ELECTRONIC JOURNAL OF COMBINATORICS. - ISSN 1077-8926. - ELETTRONICO. - 18:(2011), pp. P179-P179. [10.37236/666]

Cyclic and dihedral 1-factorizations of complete multipartite graphs

MAZZUOCCOLO, Giuseppe
2011

Abstract

An automorphism group G of a 1-factorization of the complete multipartite graph Km×n consists of permutations of the vertices of the graph mapping factors to factors. In this paper, we give a complete answer to the existence problem of a 1-factorization of Km×n admitting a cyclic or dihedral group acting sharply transitively on the vertices of the graph.
18
P179
P179
Cyclic and dihedral 1-factorizations of complete multipartite graphs / M., Bogaerts; Mazzuoccolo, Giuseppe. - In: ELECTRONIC JOURNAL OF COMBINATORICS. - ISSN 1077-8926. - ELETTRONICO. - 18:(2011), pp. P179-P179. [10.37236/666]
M., Bogaerts; Mazzuoccolo, Giuseppe
File in questo prodotto:
File Dimensione Formato  
666-PDF file-726-1-10-20120107.pdf

accesso aperto

Tipologia: Versione dell'editore (versione pubblicata)
Dimensione 118.66 kB
Formato Adobe PDF
118.66 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

Licenza Creative Commons
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/688656
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? ND
social impact