A parity digraph has a kernel

Combinatorica volume 6, pages23–27(1986)Cite this article

Abstract

We show that every digraph has a kernel (i.e. an absorbing and independent set) under the following parity condition: For every pair of verticesx, y x ≠ y all minimal directed paths betweenx andy have the same length parity.

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Affiliations

  1. U.E.R. 48 Mathématiques (E.R.175), Université Pierre et Marie Curie, 4 Place Jussieu, 75 005, Paris

    Mostafa Blidia

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  1. Mostafa Blidia
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Blidia, M. A parity digraph has a kernel. Combinatorica 6, 23–27 (1986). https://doi.org/10.1007/BF02579405

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AMS subject classification (1980)

  • 05 C 20