Dynamic Graph Drawings: Trees, Series-Parallel Digraphs, and Planar ST-Digraphs

  • Authors:
  • Robert F. Cohen;Giuseppe Di Battista;Roberto Tamassia;Ioannis G. Tollis

  • Affiliations:
  • -;-;-;-

  • Venue:
  • SIAM Journal on Computing
  • Year:
  • 1995

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Abstract

Drawing graphs is an important problem that combines elements of computational geometry and graph theory. Applications can be found in a variety of areas including circuit layout, network management, software engineering, and graphics. The main contributions of this paper can be summarized as follows: We devise a model for dynamic graph algorithms, based on performing queries and updates on an implicit representation of the drawing, and we show its applications. We present efficient dynamic drawing algorithms for trees and series-parallel digraphs. As further applications of the model, we give dynamic drawing algorithms for planar st-digraphs and planar graphs. Our algorithms adopt a variety of representations (e.g., straight line, polyline, visibility) and update the drawing in a smooth way.