Partitioning vertices of 1-tough graphs into paths

  • Authors:
  • Cristina Bazgan;Amel Harkat-Benhamdine;Hao Li;Mariusz Wózniakb

  • Affiliations:
  • Univ. Paris-Sud, Orsay, France;Univ. Paris-Sud, Orsay, France;Univ. Paris-Sud, Orsay, France;Faculty of Applied Mathematics, Kraków, Poland

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2001

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Abstract

In this paper we prove that every 1-tough graph has a partition of its vertices into paths of length at least two.