Obstructions for linear rank-width at most 1

  • Authors:
  • Isolde Adler;Arthur M. Farley;Andrzej Proskurowski

  • Affiliations:
  • -;-;-

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2014

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Abstract

We establish the set of minimal forbidden induced subgraphs for the class of graphs having linear rank-width at most 1. From these we derive both the vertex-minor and pivot-minor obstructions for the class.