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A construction of one-factorization
- Issue Date
- Sep-2008
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- one-factorizations; Steiner triple systems
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.45, no.5, pp 1243 - 1253
- Pages
- 11
- Journal Title
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 45
- Number
- 5
- Start Page
- 1243
- End Page
- 1253
- ISSN
- 0304-9914
2234-3008
- Abstract
- In this paper, we construct; one-factorizations of given complete graphs of even order. These constructions partition the edges of the complete graph into one-factors and triples. Our new constructions of one-factors and triples can be applied to a recursive construction of Steiner triple systems for all possible orders >= 15.
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