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Combinatorica

, Volume 6, Issue 1, pp 23–27 | Cite as

A parity digraph has a kernel

  • Mostafa Blidia
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.

AMS subject classification (1980)

05 C 20 

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Copyright information

© Akadémiai Kiadó 1986

Authors and Affiliations

  • Mostafa Blidia
    • 1
  1. 1.U.E.R. 48 Mathématiques (E.R.175)Université Pierre et Marie CurieParis

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