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Extra two-fold Steiner pentagon systems
- Source :
-
Discrete Mathematics . Jan2012, Vol. 312 Issue 1, p30-34. 5p. - Publication Year :
- 2012
-
Abstract
- Abstract: A two-fold pentagon system is a decomposition of the complete 2-multigraph (every two distinct vertices joined by two edges) into pentagons. A two-fold Steiner pentagon system is a two-fold pentagon system such that every pair of distinct vertices is joined by a path of length two in exactly two pentagons of the system. We consider two-fold Steiner pentagon systems with an additional property : for any two vertices, the two paths of length two joining them are distinct. We determine completely the spectrum for such systems, and point out an application of such systems to certain 4-cycle systems. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0012365X
- Volume :
- 312
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 67139844
- Full Text :
- https://doi.org/10.1016/j.disc.2011.02.009