Monotone Drawings of Graphs

Authors

  • Patrizio Angelini
  • Enrico Colasante
  • Giuseppe Di Battista
  • Fabrizio Frati
  • Maurizio Patrignani

DOI:

https://doi.org/10.7155/jgaa.00249

Keywords:

graph drawing , monotone drawing , planar graph , trees , biconnected graphs , straight-line drawing

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.

Downloads

Download data is not yet available.

Downloads

Published

2012-01-01

How to Cite

Angelini, P., Colasante, E., Di Battista, G., Frati, F., & Patrignani, M. (2012). Monotone Drawings of Graphs. Journal of Graph Algorithms and Applications, 16(1), 5–35. https://doi.org/10.7155/jgaa.00249