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GD
2009
Springer
13 years 9 months ago
Manhattan-Geodesic Embedding of Planar Graphs
In this paper, we explore a new convention for drawing graphs, the (Manhattan-) geodesic drawing convention. It requires that edges are drawn as interior-disjoint monotone chains o...
Bastian Katz, Marcus Krug, Ignaz Rutter, Alexander...
ESA
2000
Springer
122views Algorithms» more  ESA 2000»
13 years 8 months ago
Minimum Depth Graph Embedding
Abstract. The depth of a planar embedding is a measure of the topological nesting of the biconnected components of the graph. Minimizing the depth of planar embeddings has importan...
Maurizio Pizzonia, Roberto Tamassia
SIGAL
1990
216views Algorithms» more  SIGAL 1990»
13 years 9 months ago
Planar Separators and the Euclidean Norm
In this paper we show that every 2-connected embedded planar graph with faces of sizes
Hillel Gazit, Gary L. Miller
GD
1999
Springer
13 years 9 months ago
Planarity-Preserving Clustering and Embedding for Large Planar Graphs
In this paper we present a novel approach for cluster-based drawing of large planar graphs that maintains planarity. Our technique works for arbitrary planar graphs and produces a ...
Christian A. Duncan, Michael T. Goodrich, Stephen ...
JGT
2007
85views more  JGT 2007»
13 years 4 months ago
On self duality of pathwidth in polyhedral graph embeddings
: Let G be a 3-connected planar graph and G∗ be its dual. We show that the pathwidth of G∗ is at most 6 times the pathwidth of G. We prove this result by relating the pathwidth...
Fedor V. Fomin, Dimitrios M. Thilikos