A Note on the Self-similarity of Some Orthogonal Drawings
Patrignani, Maurizio (2004) A Note on the Self-similarity of Some Orthogonal Drawings. In: Graph Drawing 12th International Symposium, GD 2004, September 29-October 2, 2004, New York, NY, USA , pp. 389-394 (Official URL: http://dx.doi.org/10.1007/978-3-540-31843-9_39).
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Large graphs are difficult to browse and to visually explore. This note adds up evidence that some graph drawing techniques, which produce readable layouts when applied to medium-size graphs, yield self-similar patterns when launched on huge graphs. To prove this, we consider the problem of assessing the self-similarity of graph drawings, and measure the box-counting dimension of the output of three algorithms, each using a different approach for producing orthogonal grid drawings with a reduced number of bends. Work partially supported by European Commission – Fet Open project COSIN – COevolution and Self-organisation In dynamical Networks – IST-2001-33555, by European Commission – Fet Open project DELIS – Dynamically Evolving Large Scale Information Systems – Contract no 001907, by ldquoProgetto ALINWEB: Algoritmica per Internet e per il Webrdquo, MIUR Programmi di Ricerca Scientifica di Rilevante Interesse Nazionale, and by ldquoThe Multichannel Adaptive Information Systems (MAIS) Projectrdquo, MIUR Fondo per gli Investimenti della Ricerca di Base.
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