Minimum Segment Drawings of Series-Parallel Graphs with the Maximum Degree Three

(Extended Abstract)
  • Md. Abul Hassan Samee
  • Md. Jawaherul Alam
  • Muhammad Abdullah Adnan
  • Md. Saidur Rahman
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5417)


A minimum segment drawing Γ of a planar graph G is a straight line drawing of G that has the minimum number of segments among all straight line drawings of G. In this paper, we give a linear-time algorithm for computing a minimum segment drawing of a series-parallel graph with the maximum degree three. To the best of our knowledge, this is the first algorithm for computing minimum segment drawings of an important subclass of planar graphs.


Line Segment Planar Graph Maximum Degree Recursive Decomposition Split Pair 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Md. Abul Hassan Samee
    • 1
  • Md. Jawaherul Alam
    • 2
  • Muhammad Abdullah Adnan
    • 2
  • Md. Saidur Rahman
    • 2
  1. 1.Department of Computer ScienceUniversity of Illinois at Urbana-ChampaignUSA
  2. 2.Department of Computer Science and EngineeringBangladesh University of Engineering and TechnologyDhakaBangladesh

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