## Abstract A cube factorization of the complete graph on __n__ vertices, __K~n~__, is a 3βfactorization of __K~n~__ in which the components of each factor are cubes. We show that there exists a cube factorization of __K~n~__ if and only if __n__ β‘ 16 (mod 24), thus providing a new family of unifor
An algorithm for finding factorizations of complete graphs
β Scribed by A. J. W. Hilton; Matthew Johnson
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 58 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0364-9024
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β¦ Synopsis
Abstract
We show how to find a decomposition of the edge set of the complete graph into regular factors where the degree and edgeβconnectivity of each factor is prescribed. Β© 2003 Wiley Periodicals, Inc. J Graph Theory 43: 132β136, 2003
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