Published January 1, 2017
| Version v1
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Uniformly Resolvable Cycle Decompositions with Four Different Factors
Creators
- 1. Istanbul Univ, Dept Engn Sci, Fac Engn, TR-34320 Istanbul, Turkey
- 2. Gebze Tech Univ, Dept Math, TR-41400 Gebze, Kocaeli, Turkey
Description
In this paper, we consider uniformly resolvable decompositions of complete graph K-v( or K-v minus a 1-factor I for even v) into cycles. We will focus on the existence of factorizations of K-v or K-v - I containing up to four non-isomorphic factors. We obtain all possible solutions for uniform factors involving 4, m, 2m and 4m-cycles with a few possible exceptions when m is odd.
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