A Simple Parallel Algorithm to Draw Cubic Graphs

ÐThe 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 O…logn† 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. Index TermsÐCubic graphs, orthogonal drawing, computer graphics. visualization, layout, parallel algorithms.