Abstract
In this paper we consider the problems of testing a multi- level graph for planarity and laying out a multi-level graph.We introduce a new abstraction that we call a vertex-exchange graph. We demonstrate how this concept can be used to solve these problems by providing clear and simple algorithms for testing a multi-level graph for planarity and laying out a multi-level graph when planar.We also show how the concept can be used to solve other problems relating to multi-level graph layout.
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Healy, P., Kuusik, A. (1999). The Vertex-Exchange Graph: A New Concept for Multi-level Crossing Minimisation. In: Kratochvíyl, J. (eds) Graph Drawing. GD 1999. Lecture Notes in Computer Science, vol 1731. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46648-7_21
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DOI: https://doi.org/10.1007/3-540-46648-7_21
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