Drawing Graphs with Right Angle Crossings

  • Authors:

  • Walter Didimo;Peter Eades;Giuseppe Liotta

  • Affiliations:

  • Dip. di Ingegneria Elettronica e dell'Informazione, Università degli Studi di Perugia,;Department of Information Technology, University of Sydney,;Dip. di Ingegneria Elettronica e dell'Informazione, Università degli Studi di Perugia,

  • Venue:
  • WADS '09 Proceedings of the 11th International Symposium on Algorithms and Data Structures
  • Year:
  • 2009

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Abstract

Cognitive experiments show that humans can read graph drawings in which all edge crossings are at right angles equally well as they can read planar drawings; they also show that the readability of a drawing is heavily affected by the number of bends along the edges. A graph visualization whose edges can only cross perpendicularly is called a RAC (Right Angle Crossing) drawing . This paper initiates the study of combinatorial and algorithmic questions related with the problem of computing RAC drawings with few bends per edge. Namely, we study the interplay between number of bends per edge and total number of edges in RAC drawings. We establish upper and lower bounds on these quantities by considering two classical graph drawing scenarios: The one where the algorithm can choose the combinatorial embedding of the input graph and the one where this embedding is fixed.