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Factorizations of the Complete Graph intoC5-Factors and 1-Factors

✍ Scribed by Peter Adams; Darryn Bryant; Saad I. El-Zanati; Heather Gavlas


Publisher
Springer Japan
Year
2003
Tongue
English
Weight
347 KB
Volume
19
Category
Article
ISSN
0911-0119

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πŸ“œ SIMILAR VOLUMES


Abelian 1-Factorizations of the Complete
✍ Marco Buratti πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 75 KB

Extending a result by Hartman and Rosa (1985, Europ. J. Combinatorics 6, 45-48), we prove that for any Abelian group G of even order, except for G Z 2 n with n > 2, there exists a onefactorization of the complete graph admitting G as a sharply-vertex-transitive automorphism group.

Sharply transitive 1-factorizations of t
✍ GΓ‘bor KorchmΓ‘ros πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 682 KB

## Abstract We give some simple characterizations of those __n__ for which __K~n~__ has a sharply transitive 1‐factorization with an assigned automorphism group that acts sharply transitively on the vertex set and also fixes a 1‐factor. Β© 1994 John Wiley & Sons, Inc.

Cube factorizations of complete graphs
✍ Peter Adams; Darryn Bryant; Barbara Maenhaut πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 94 KB

## Abstract A cube factorization of the complete graph on __n__ vertices, __K~n~__, is a 3‐factorization 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__ ≑ 16 (mod 24), thus providing a new family of unifor

A 1-factorization of the line graphs of
✍ Brian Alspach πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 254 KB πŸ‘ 1 views

## Abstract A 1‐factorization is constructed for the line graph of the complete graph __K~n~__ when __n__ is congruent to 0 or 1 modulo 4.