We introduce the concept of a 2-starter in a group G of odd order. We prove that any 2-factorization of the complete graph admitting G as a sharply vertex transitive automorphism group is equivalent to a suitable 2-starter in G. Some classes of 2-starters are studied, with special attention given to those leading to solutions of some Oberwolfach or Hamilton–Waterloo problems.



Titolo: On sharply vertex-transitive 2-factorizations of the complete graph
Autori: 
BURATTI, Marco
mostra contributor esterni 
Data di pubblicazione: 2005
Rivista: 
JOURNAL OF COMBINATORIAL THEORY. SERIES A  
Abstract: We introduce the concept of a 2-starter in a group G of odd order. We prove that any 2-factorization of the complete graph admitting G as a sharply vertex transitive automorphism group is equivalent to a suitable 2-starter in G. Some classes of 2-starters are studied, with special attention given to those leading to solutions of some Oberwolfach or Hamilton–Waterloo problems.
Handle: http://hdl.handle.net/11391/22788
Appare nelle tipologie:1.1 Articolo in rivista

File in questo prodotto:
Non ci sono file associati a questo prodotto.
Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/11391/22788
  • Citazioni
  • ND

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
 
 
 
Powered by IRIS-about IRIS-Utilizzo dei cookie
Logo CINECA  Copyright © 2020