Publication 2000 Issue No. 10 - October Abstract - A Simple Parallel Algorithm to Draw Cubic Graphs
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A Simple Parallel Algorithm to Draw Cubic Graphs
October 2000 (vol. 11 no. 10)
pp. 1009-1018
 ASCII Text x Tiziana Calamoneri, Stephan Olariu, Rossella Petreschi, "A Simple Parallel Algorithm to Draw Cubic Graphs," IEEE Transactions on Parallel and Distributed Systems, vol. 11, no. 10, pp. 1009-1018, October, 2000.
 BibTex x @article{ 10.1109/71.888641,author = {Tiziana Calamoneri and Stephan Olariu and Rossella Petreschi},title = {A Simple Parallel Algorithm to Draw Cubic Graphs},journal ={IEEE Transactions on Parallel and Distributed Systems},volume = {11},number = {10},issn = {1045-9219},year = {2000},pages = {1009-1018},doi = {http://doi.ieeecomputersociety.org/10.1109/71.888641},publisher = {IEEE Computer Society},address = {Los Alamitos, CA, USA},}
 RefWorks Procite/RefMan/Endnote x TY - JOURJO - IEEE Transactions on Parallel and Distributed SystemsTI - A Simple Parallel Algorithm to Draw Cubic GraphsIS - 10SN - 1045-9219SP1009EP1018EPD - 1009-1018A1 - Tiziana Calamoneri, A1 - Stephan Olariu, A1 - Rossella Petreschi, PY - 2000KW - Cubic graphsKW - orthogonal drawingKW - computer graphics. visualizationKW - layoutKW - parallel algorithms.VL - 11JA - IEEE Transactions on Parallel and Distributed SystemsER -

Abstract—The main contribution of this work is to offer a simple and cost-efficient parallel algorithm that, given an arbitrary $n$-vertex cubic graph $G$ as input, produces an orthogonal grid drawing of $G$ in ${\rm O}(\log n)$ time, using $n$ processors on an EREW PRAM. Our algorithm matches the time and cost performance of the best previously-known algorithm while at the same time improving the constant factors involved in two important metrics: layout area and number of bends. More importantly, however, our algorithm stands out by its conceptual simplicity and ease of implementation.

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Index Terms:
Cubic graphs, orthogonal drawing, computer graphics. visualization, layout, parallel algorithms.
Citation:
Tiziana Calamoneri, Stephan Olariu, Rossella Petreschi, "A Simple Parallel Algorithm to Draw Cubic Graphs," IEEE Transactions on Parallel and Distributed Systems, vol. 11, no. 10, pp. 1009-1018, Oct. 2000, doi:10.1109/71.888641