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In this paper, we construct one-factorizations of given com-
plete 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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참고문헌 (11)
참고문헌 신청
A. Hartman / 1980 / Tripling quadruple systems / Ars Combinatoria 10 : 255 ~ 309
C. J. Colbourn / 1999 / Triple Systems, Oxford Mathematical Monographs / The Clarendon Press, Oxford University Press
E. Mendelsohn / 1985 / One-factorizations of the complete graph
G. Stern / 1980 / Steiner triple systems with given subspaces; another proof of the Doyen-Wilson-theorem / Unione Matematica Italiana. Bollettino. A 17 (1) : 109 ~ 114
J. Doyen / 1973 / Embeddings of Steiner triple systems / Discrete Mathematics 5 : 229 ~ 239
C. J. Colbourn / 1999 / Triple Systems, Oxford Mathematical Monographs / The Clarendon Press, Oxford University Press
E. Mendelsohn / 1985 / One-factorizations of the complete graph
G. Stern / 1980 / Steiner triple systems with given subspaces; another proof of the Doyen-Wilson-theorem / Unione Matematica Italiana. Bollettino. A 17 (1) : 109 ~ 114
J. Doyen / 1973 / Embeddings of Steiner triple systems / Discrete Mathematics 5 : 229 ~ 239
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