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Subdivisions of digraphs in tournaments

math.CO · 2019-08-10 · conditional · novelty 8.0

Every tournament with minimum out-degree (2+o(1))k^2 contains a subdivision of the complete digraph on k vertices, and every tournament on C k^2 log^3 k vertices contains a 1-subdivision of the transitive tournament on k vertices.

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  • Subdivisions of digraphs in tournaments math.CO · 2019-08-10 · conditional · none · ref 5

    Every tournament with minimum out-degree (2+o(1))k^2 contains a subdivision of the complete digraph on k vertices, and every tournament on C k^2 log^3 k vertices contains a 1-subdivision of the transitive tournament on k vertices.