Straight-line drawings of general trees with linear area and arbitrary aspect ratio

  • Authors:
  • Ashim Garg;Adrian Rusu

  • Affiliations:
  • Department of Computer Science and Engineering, University at Buffalo, Buffalo, NY;Department of Computer Science and Engineering, University at Buffalo, Buffalo, NY

  • Venue:
  • ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartIII
  • Year:
  • 2003

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Abstract

Trees are usually drawn planar, i.e. without any crossings. In this paper we investigate the area requirement of planar straight-line drawings of trees. A degree-d tree is one in which each node has at most d edges incident on it. Let T be a degree-d tree with n nodes, such that d = O(nδ), where δ T admits a planar straight-line grid drawing with area O(n) and with any prespecified aspect ratio in the range [1, nα], where α is a constant such that 0 ≤ α O(n log n) time.