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Decomposition of the complete directed graph into k-circuits. (English) Zbl 0344.05123

##### MSC:
 05C20 Directed graphs (digraphs), tournaments 05C35 Extremal problems in graph theory
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##### References:
 [1] \scS. Bankes, private communication. [2] Berge, C, () [3] Bermond, J.C, An application of the solution of Kirkman’s schoolgirl problem: the decomposition of the symmetric oriented complete graph into 3-circuits, Discrete math., 8, 301-304, (1971) · Zbl 0281.05105 [4] Bermond, J.C, The decomposition of $$Kn\^{}\{∗\}$$ into k-circuits and balanced G-designs, (), to appear · Zbl 0336.05020 [5] \scJ. C. Bermond, thesis (unpublished). [6] Bose, R.C, On the construction of balanced incomplete block designs, Ann. eugenics, 9, 353-399, (1939) · Zbl 0023.00102 [7] Dénes, J; Török, E, Groups and graphs, (), 257-289 · Zbl 0216.02402 [8] Gordon, B, Sequences in groups with distinct partial products, Pacific J. math., 11, 1309-1313, (1961) · Zbl 0103.26202 [9] \scB. Hartnell and M. Milgram, Decomposition of Kp, for p a prime, into k-circuits, to appear. · Zbl 0321.05112 [10] Kotzig, A, On the decomposition of complete graphs into 4k-gons, Mat.-fyz. časopis sloven. akad. vied., 15, 229-233, (1965), (Russian) · Zbl 0134.43402 [11] Mendelsohn, N.S, Hamiltonian decomposition of the complete directed n-graph, (), 237-241 · Zbl 0157.31401 [12] Rosa, A, On the cyclic decompositions of the complete graph into polygons with odd number of edges, Časopis. Pěst. mat., 91, 53-63, (1966), (Slovak with English summary) · Zbl 0151.33501 [13] Rosa, A, On cyclic decompositions of the complete graph into (4m + 2)-gons, Mat.-fyz. časopis sloven. akad. vied., 16, 349-353, (1966) · Zbl 0147.42803 [14] Schönheim, J, Partition of the edges of the directed complete graph into 4-cycles, Discrete math., 11, 67-70, (1975) [15] \scD. Sotteau, (n, k, λ)-configurations, in preparation. [16] Wang, L.L, A test for the sequencing of a class of finite groups with two generators, Notices amer. math. soc., 20, A—632, (1973) [17] Wilson, R.M, An existence theory for pairwise balanced designs. II. the structure of PBD-closed sets and existence conjectures, J. combinatorial theory, 13, 246-273, (1972) · Zbl 0263.05015
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