The circuit polynomial c%f the complete graph K, is used to deduce results about nodedisjoint -vcle decompositiorls of K,, satisfying variow restrictions.
Cycle decompositions III: Complete graphs and fixed length cycles
✍ Scribed by Mateja Šajna
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 534 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1063-8539
- DOI
- 10.1002/jcd.1027
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✦ Synopsis
Abstract
We show that the necessary conditions for the decomposition of the complete graph of odd order into cycles of a fixed even length and for the decomposition of the complete graph of even order minus a 1‐factor into cycles of a fixed odd length are also sufficient. © 2002 John Wiley & Sons, Inc. J Combin Designs 10: 27–78, 2002
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