Crossing Number of Abstract Topological Graphs

  • Jan Kratochvíl
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1547)


We revoke the problem of drawing graphs in the plane so that only certain specified pairs of edges are allowed to cross. We overview some previous results and open problems, namely the connection to intersection graphs of curves in the plane. We complement these by stating a new conjecture and showing that its proof would solve the problem of algorithmic decidability of recognition of string graphs as well as realizability of abstract topological graphs and feasible drawability of graphs with restricted edge crossings.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Jan Kratochvíl
    • 1
  1. 1.Charles UniversityPragueCzech Republic

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