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Monotone Drawings of Graphs

  • Patrizio Angelini
  • Enrico Colasante
  • Giuseppe Di Battista
  • Fabrizio Frati
  • Maurizio Patrignani
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6502)

Abstract

We study a new standard for visualizing graphs: A monotone drawing is a straight-line drawing such that, for every pair of vertices, there exists a path that monotonically increases with respect to some direction. We show algorithms for constructing monotone planar drawings of trees and biconnected planar graphs, we study the interplay between monotonicity, planarity, and convexity, and we outline a number of open problems and future research directions.

Keywords

Planar Graph Outer Face Inductive Algorithm Planar Drawing Virtual Edge 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Patrizio Angelini
    • 1
  • Enrico Colasante
    • 1
  • Giuseppe Di Battista
    • 1
  • Fabrizio Frati
    • 1
  • Maurizio Patrignani
    • 1
  1. 1.Dipartimento di Informatica e AutomazioneUniversità Roma TreItaly

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