Hardness of approximate compaction for nonplanar orthogonal graph drawings

  • Authors:
  • Michael J. Bannister;David Eppstein

  • Affiliations:
  • Computer Science Department, University of California, Irvine;Computer Science Department, University of California, Irvine

  • Venue:
  • GD'11 Proceedings of the 19th international conference on Graph Drawing
  • Year:
  • 2011

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Abstract

We show that several problems of compacting orthogonal graph drawings to use the minimum number of rows or the minimum possible area cannot be approximated to within better than a polynomial factor in polynomial time unless P=NP. However, there is a fixed-parameter-tractable algorithm for testing whether a drawing can be compacted to a given number of rows.