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.
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Titolo: | On sharply vertex-transitive 2-factorizations of the complete graph |
Autori: | |
Data di pubblicazione: | 2005 |
Rivista: | |
Abstract: | We introduce the concept of a 2-starter in a group G of odd order. We prove that any 2-factoriza...tion 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 |
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