Embedding 5-cycle systems into pentagon triple systems

Billington, Elizabeth J. and Lindner, C. C. (2009) Embedding 5-cycle systems into pentagon triple systems. Discrete Mathematics, 309 14: 4828-4834. doi:10.1016/j.disc.2008.06.035


Author Billington, Elizabeth J.
Lindner, C. C.
Title Embedding 5-cycle systems into pentagon triple systems
Journal name Discrete Mathematics   Check publisher's open access policy
ISSN 0012-365X
1872-681X
Publication date 2009-01-01
Sub-type Article (original research)
DOI 10.1016/j.disc.2008.06.035
Volume 309
Issue 14
Start page 4828
End page 4834
Total pages 7
Place of publication Netherlands
Publisher Elsevier
Language eng
Subject C1
970101 Expanding Knowledge in the Mathematical Sciences
010104 Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
Abstract We show that the spectrum for pentagon triple systems is the set of all n≡1,15,21 or . We then construct a 5-cycle system of order 10n+1 which can be embedded in a pentagon triple system of order 30n+1 and also construct a 5-cycle system of order 10n+5 which can be embedded in a pentagon triple system of order 30n+15, with the possible exception of embedding a 5-cycle system of order 21 in a pentagon triple system of order 61.
Formatted abstract
We show that the spectrum for pentagon triple systems is the set of all n≡1,15,21 or . We then construct a 5-cycle system of order 10n+1 which can be embedded in a pentagon triple system of order 30n+1 and also construct a 5-cycle system of order 10n+5 which can be embedded in a pentagon triple system of order 30n+15, with the possible exception of embedding a 5-cycle system of order 21 in a pentagon triple system of order 61.

Keyword Cycle System
Embedding
Pentagon triple system
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
2010 Higher Education Research Data Collection
 
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Created: Thu, 06 Aug 2009, 21:09:00 EST by Marie Grove on behalf of School of Mathematics & Physics