Covering Graphs by Simple Circuits

Authors:
  • AIAlon Itai
    Alon Itai
  • RLRichard J. Lipton
    Richard J. Lipton
  • CPChristos H. Papadimitriou
    Christos H. Papadimitriou
  • MRM. Rodeh
    M. Rodeh
  • RIRichard J. Lipton Alon Itai
    Richard J. Lipton Alon Itai
  • CTCarsten Thomassen
    Carsten Thomassen
  • BJBill Jackson
    Bill Jackson
  • NAN. Alon
    N. Alon
  • MTM. Tarsi
    M. Tarsi

Abstract
We show that any biconnected graph with n nodes and m edges can be covered by simple circuits whose total length is at most $\min (3m,m + 6n)$. Our proof suggests an efficient algorithm for finding such a cover.

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