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On the doyen-wilson theorem for m-cycle systems

✍ Scribed by Darryn E. Bryant; C. A. Rodger

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
901 KB
Volume
2
Category
Article
ISSN
1063-8539

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✦ Synopsis

Abstract

In this article we consider the embedding of m‐cycle systems of order u in m‐cycle systems of order v when m is odd. When u and v are 1 or m (mod 2__m__) we completely settle this problem, except possibly for the smallest such embedding in some cases when u ≑ v ≑ m (mod 2__m__). In particular, there are no exceptions if m ∈ {7,9}, so the generalization of the Doyen‐Wilson Theorem is now settled for all odd m with m ≀ 9. Β© 1994 John Wiley & Sons, Inc.

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