Multilayer Drawings of Clustered Graphs
Journal of Graph Algorithms and Applications, Tome 18 (2014) no. 5, pp. 633-675.

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The cluster adjacency graph of a flat clustered graph C(G,T) is the graph A whose vertices are the clusters in T and whose edges connect clusters containing vertices that are adjacent in G. A multilayer drawing of a clustered graph C consists of a straight-line c-planar drawing of C in which the clusters are drawn as convex regions and of a straight-line planar drawing of A such that each vertex a ∈ A is drawn in the cluster corresponding to a and such that no edge (a1,a2) ∈ A intersects any cluster different from a1 and a2. In this paper, we show that every c-planar flat clustered graph admits a multilayer drawing.
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     author = {Fabrizio Frati},
     title = {Multilayer {Drawings} of {Clustered} {Graphs}},
     journal = {Journal of Graph Algorithms and Applications},
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Fabrizio Frati. Multilayer Drawings of Clustered Graphs. Journal of Graph Algorithms and Applications, Tome 18 (2014) no. 5, pp. 633-675. doi : 10.7155/jgaa.00340. http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00340/

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