A note on obstructions to clustered planarity
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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A planar digraph $D$ is clustered planar if in some planar embedding of $D$ we have at each vertex the in-arcs occurring sequentially in the local rotation. By supplementing the operations used to form the usual minors in Kuratowski's theorem, clustered planar digraphs are characterised.
DOI : 10.37236/646
Classification : 05C10, 05C20, 05C83
Mots-clés : digraph, planarity, clustered embedding, obstructions, excluded minors, clustered planar directed graph, clustered planar graphs
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     author = {Jamie Sneddon and Paul Bonnington},
     title = {A note on obstructions to clustered planarity},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/646},
     zbl = {1232.05060},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/646/}
}
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Jamie Sneddon; Paul Bonnington. A note on obstructions to clustered planarity. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/646

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