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» Manhattan-Geodesic Embedding of Planar Graphs
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RSA
2008
123views more  RSA 2008»
13 years 9 months ago
Generating unlabeled connected cubic planar graphs uniformly at random
We present an expected polynomial time algorithm to generate an unlabeled connected cubic planar graph uniformly at random. We first consider rooted connected cubic planar graphs, ...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
GD
2006
Springer
14 years 1 months ago
Planarity Testing and Optimal Edge Insertion with Embedding Constraints
The planarization method has proven to be successful in graph drawing. The output, a combinatorial planar embedding of the so-called planarized graph, can be combined with state-o...
Carsten Gutwenger, Karsten Klein, Petra Mutzel
COCOON
1999
Springer
14 years 2 months ago
Area Minimization for Grid Visibility Representation of Hierarchically Planar Graphs
Abstract. Hierarchical graphs are an important class of graphs for modelling many real applications in software and information visualization. In this paper, we shall investigate t...
Xuemin Lin, Peter Eades
JGAA
2002
86views more  JGAA 2002»
13 years 9 months ago
Planar Graphs with Topological Constraints
We address in this paper the problem of constructing embeddings of planar graphs satisfying declarative, user-defined topological constraints. The constraints consist each of a cy...
Christoph Dornheim
IPL
2010
111views more  IPL 2010»
13 years 8 months ago
Connecting face hitting sets in planar graphs
We show that any face hitting set of size n of a connected planar graph with a minimum degree of at least 3 is contained in a connected subgraph of size 5n − 6. Furthermore we s...
Pascal Schweitzer, Patrick Schweitzer