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Graph Drawing by High-Dimensional Embedding

, and . Graph Drawing, volume 2528 of Lecture Notes in Computer Science, Springer, Berlin / Heidelberg, (2002)
DOI: 10.1007/3-540-36151-0_20

Abstract

We present a novel approach to the aesthetic drawing of undirected graphs. The method has two phases: first embed the graph in a very high dimension and then project it into the 2-D plane using principal components analysis. Running time is linear in the graph size, and experiments we have carried out show the ability of the method to draw graphs of 10 5 nodes in few seconds. The new method appears to have several advantages over classical methods, including a significantly better running time, a useful inherent capability to exhibit the graph in various dimensions, and an effective means for interactive exploration of large graphs.

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