Straight-Line Drawings of Binary Trees with Linear Area and Arbitrary Aspect Ratio

(Extended Abstract)
  • Ashim Garg
  • Adrian Rusu
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2528)


Trees are usually drawn planar, i.e. without any crossings. In this paper, we investigate the area requirement of (non-upward) planar straight-line grid drawings of binary trees. Let T be a binary tree with n nodes. We show that T admits a planar straight-line grid drawing with area O(n) and with any pre-specified aspect ratio in the range [1, n α ], where α is a constant such that 0 ≤ α < 1. We also show that such a drawing can be constructed in O(n log n) time.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Ashim Garg
    • 1
  • Adrian Rusu
    • 1
  1. 1.Department of Computer Science and EngineeringUniversity at BuffaloBuffalo

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