How to Layer a Directed Acyclic Graph
Healy, Patrick and Nikolov, Nikola S. (2002) How to Layer a Directed Acyclic Graph. In: Graph Drawing 9th International Symposium, GD 2001, September 23-26, 2001, Vienna, Austria , pp. 16-30 (Official URL: http://dx.doi.org/10.1007/3-540-45848-4_2).
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We consider the problem of partitioning a directed acyclic graph into layers such that all edges point unidirectionally. We perform an experimental analysis of some of the existing layering algorithms and then propose a new algorithm that is more realistic in the sense that it is possible to incorporate specific information about node and edge widths into the algorithm. The goal is to minimize the total sum of edge spans subject to dimension constraints on the drawing. We also present some preliminary results from experiments we have conducted using our layering algorithm on over 5900 example directed acyclic graphs
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