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Erschienen in:
2005 | OriginalPaper | Buchkapitel
Drawing Large Graphs with a Potential-Field-Based Multilevel Algorithm
verfasst von : Stefan Hachul, Michael Jünger
Erschienen in: Graph Drawing
Verlag: Springer Berlin Heidelberg
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Force-directed graph drawing algorithms are widely used for drawing general graphs. However, these methods do not guarantee a sub-quadratic running time in general. We present a new force-directed method that is based on a combination of an efficient multilevel scheme and a strategy for approximating the repulsive forces in the system by rapidly evaluating potential fields. Given a graph
G
=(
V
,
E
), the asymptotic worst case running time of this method is
O
(|
V
|log|
V
| + |
E
|) with linear memory requirements. In practice, the algorithm generates nice drawings of graphs containing 100000 nodes in less than 5 minutes. Furthermore, it clearly visualizes even the structures of those graphs that turned out to be challenging for some other methods.