Hardness of subgraph and supergraph problems in c-tournaments

  • Authors:
  • S. Kanthi Kiran;N. S. Narayanaswamy

  • Affiliations:
  • -;-

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2011

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Abstract

Problems like the directed feedback vertex set problem have much better algorithms in tournaments when compared to general graphs. This motivates us to study a natural generalization of tournaments, named c-tournaments, and see if the structural properties of these graphs are helpful in obtaining similar algorithms. c-tournaments are simple digraphs which have directed paths of length at most c=1 between all pairs of vertices. We study the complexity of feedback vertex set and r-dominating set in c-tournaments. We also present hardness results on some graph editing problems involving c-tournaments.