Clustering Cycles into Cycles of Clusters
Journal of Graph Algorithms and Applications, Special Issue on Selected Papers from the Twelfth International Symposium on Graph Drawing, GD 2004 , Tome 9 (2005) no. 3, pp. 391-413.

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In this paper we study simple families of clustered graphs that are highly unconnected. We start by studying 3-cluster cycles, which are clustered graphs such that the underlying graph is a simple cycle and there are three clusters all at the same level. We show that in this case, testing the c-planarity can be done efficiently and give an efficient drawing algorithm. Also, we characterize 3-cluster cycles in terms of formal grammars. Finally, we generalize the results on 3-cluster cycles considering clustered graphs that have a cycle structure at each level of the inclusion tree. We present efficient c-planarity testing and drawing algorithms also for this case.
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     author = {Pier Francesco Cortese and Giuseppe Di Battista and Maurizio Patrignani and Maurizio Pizzonia},
     title = {Clustering {Cycles} into {Cycles} of {Clusters}},
     journal = {Journal of Graph Algorithms and Applications},
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Pier Francesco Cortese; Giuseppe Di Battista; Maurizio Patrignani; Maurizio Pizzonia. Clustering Cycles into Cycles of Clusters. Journal of Graph Algorithms and Applications, 
							Special Issue on Selected Papers from the Twelfth International Symposium on Graph Drawing, GD 2004
					, Tome 9 (2005) no. 3, pp. 391-413. doi : 10.7155/jgaa.00115. http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00115/

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