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The partition of a strong tournament. (English) Zbl 1069.05037
The paper presents some conditions on a strong tournament that cannot be partitioned into two cycles. It also shows that under certain conditions a strong tournament can be partitioned into two cycles. A sufficient condition is also given for a tournament to be partitionable into \(k\) cycles.

MSC:
05C20 Directed graphs (digraphs), tournaments
05C75 Structural characterization of families of graphs
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[1] Bondy, J.A.; Murty, U.S.R., Graph theory with applications, (1976), Macmillan London and New York · Zbl 1134.05001
[2] Guantao Chen, Ronald J. Gould, Hao Li, Partitioning vertices of a tournament into independent cycles, J. Combin. Theory (B) 83 (2001) 213-220. · Zbl 1028.05038
[3] K.B. Reid, Two complementary circuits in two-connected tournaments, in: B.R. Alspach, C.D. Godsil (Eds.), Cycles in Graphs, Annal of Discrete Mathematics, vol. 27, 1985, pp. 321-334. · Zbl 0573.05031
[4] Zengmin Song, Complementary cycles of all lengths in tournaments, J. Combin. Theory (B) 57 (1993) 18-25. · Zbl 0723.05062
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