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Colour Number, Capacity, and Perfectness of Directed Graphs

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Abstract.

We introduce a new concept of chromatic number for directed graphs, called the colour number and use it to upper bound the transitive clique number and the Sperner capacity of arbitrary directed graphs. Our results represent a common generalization of previous bounds of Alon and the second author and lead to a concept of perfectness for directed graphs.

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Authors and Affiliations

  1. Department of Computer Science, La Sapienza University of Roma, via Salaria 113, 00198 Roma, Italy e-mail: fachini@dsi.uniromal.it, , , , , , IT

    Emanuela Fachini

  2. Department of Computer Science, La Sapienza University of Roma, via Salaria 113, 00198 Roma, Italy e-mail: korner@dsi.uniroma1.it, , , , , , IT

    János Körner

Authors
  1. Emanuela Fachini
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  2. János Körner
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Revised: June 3, 1998

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Fachini, E., Körner, J. Colour Number, Capacity, and Perfectness of Directed Graphs. Graphs Comb 16, 389–398 (2000). https://doi.org/10.1007/PL00007226

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  • DOI: https://doi.org/10.1007/PL00007226

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