Graph Embedding with Topological Cycle-Constraints

  • Christoph Dornheim
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1731)

Abstract

This paper concerns graph embedding under topological constraints. We address the problem of finding a planar embedding of a graph satisfying a set of constraints between its vertices and cycles that require embedding a given vertex inside its corresponding cycle. This problem turns out to be NP-complete. However, towards an analysis of its tractable subproblems, we develop an efficient algorithm for the special case where graphs are 2-connected and any two distinct cycles in the constraints have at most one vertex in common.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Christoph Dornheim
    • 1
  1. 1.Institut für Informatik Albert-Ludwigs-UniversitätFreiburgGermany

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