Directed circuits on a torus

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Given vertices s, t of a planar digraph G, does there exist a directed circuit of G containing both s and t? We give a polynomial algorithm for this and for a number of related problems, including one about disjoint directed circuits of prescribed homotopy in a digraph drawn on a torus.

Original languageEnglish (US)
Pages (from-to)261-273
Number of pages13
Issue number3
StatePublished - Sep 1991
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics
  • Computational Mathematics


  • AMS subject classification (1980): 05C70, 05C10, 05C20, 05C38


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