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A Few Remarks on Orientation of Graphs and Ramsey Theory

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Part of the book series: Algorithms and Combinatorics 8 ((AC,volume 8))

Abstract

Let D denote a class of digraph such that every induced digraph in D is in D again. Then either D contains all acyclic digraphs or almost no graph has an orientation in D. Proofs and variations on this theme are discussed. Some open problems in Ramsey theory are raised.

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© 1989 Springer-Verlag Berlin Heidelberg

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Cochand, M., Duchet, P. (1989). A Few Remarks on Orientation of Graphs and Ramsey Theory. In: Halász, G., Sós, V.T. (eds) Irregularities of Partitions. Algorithms and Combinatorics 8, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61324-1_3

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  • DOI: https://doi.org/10.1007/978-3-642-61324-1_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50582-2

  • Online ISBN: 978-3-642-61324-1

  • eBook Packages: Springer Book Archive

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