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Paper   IPM / Computer Science / 10801
School of Computer Science
  Title:   Drawing free trees inside simple polygons using polygon skeleton
  Author(s): 
1.  A. Bagherl
2.  M. Razzazi
  Status:   Published
  Journal: Computing and Informatics
  No.:  3
  Vol.:  23
  Year:  2004
  Pages:   239-254
  Publisher(s):   SLOVAK ACADEMY OF SCIENCES
  Supported by:  IPM
  Abstract:
Most of graph drawing algorithms draw graphs on unbounded planes. In this paper we introduce a new polyline grid drawing algorithm for drawing free trees on plane regions which are bounded by simple polygons. Our algorithm uses the simulated annealing (SA) method, and by means of the straight skeletons of the bounding polygons guides the SA method to uniformly distribute the vertices of the given trees over the given regions. Our results show improvements to the previous algorithms that use the SA method to draw graphs inside rectangles. To our knowledge, this paper is the first attempt for developing algorithms that draw graphs on regions which are bounded by simple polygons.

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