DRAWING DIRECTED ACYCLIC GRAPHS: AN EXPERIMENTAL STUDY

Author:

DI BATTISTA GIUSEPPE1,GARG ASHIM2,LIOTTA GIUSEPPE3,PARISE ARMANDO4,TAMASSIA ROBERTO5,TASSINARI EMANUELE4,VARGIU FRANCESCO6,VISMARA LUCA5

Affiliation:

1. Dipartimento di Informatica e Automazione, Università degli Studi di Roma Tre Via della Vasca Navale 79, 00146 Roma, Italy

2. Department of Computer Science and Engineering, State University of New York at Buffalo, 226 Bell Hall, Buffalo, NY 14260–2000, USA

3. Dipartimento di Ingegneria Elettronica e dell'Informazione, Università degli Studi di Perugia Via Duranti 93, 06131 Perugia, Italy

4. Dipartimento di Informatica e Sistemistica, Università degli Studi di Roma "La Sapienza" Via Salaria 113, 00198 Roma, Italy

5. Center for Geometric Computing, Department of Computer Science, Brown University, 115 Waterman Street, Providence, RI 02912–1910, USA

6. Centro Tecnico per la Rete Unitaria Via Isonzo 21, 00198 Roma, Italy

Abstract

In this paper we consider the important class of directed acyclic graphs (DAGs), and present the results of a comparative study on four popular drawing algorithms specifically developed for them. The study has been performed within a general experimental setting consisting of two large test suites of DAGs and a set of quality measures. The focus of the experiments has been the practical behavior of the algorithms with a geometric foundation compared to that of the algorithms with a topological foundation. The four algorithms exhibit various trade-offs with respect to the quality measures considered, and none of them clearly outperforms the others. Our analysis has motivated the development of a new hybrid strategy for drawing DAGs that performs quite well in practice.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science

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