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» Planar graph bipartization in linear time
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ISCC
2006
IEEE
127views Communications» more  ISCC 2006»
15 years 3 months ago
Visualizing and Managing Network Topologies via Rectangular Dualization
Rectangular dualization is an effective, hierarchically oriented visualization method for network topologies and can be used in many other problems having in common with networks ...
Massimo Ancona, Walter Cazzola, Sara Drago, Gianlu...
CORR
2008
Springer
111views Education» more  CORR 2008»
14 years 9 months ago
Linear-Time Algorithms for Geometric Graphs with Sublinearly Many Crossings
We provide linear-time algorithms for geometric graphs with sublinearly many crossings. That is, we provide algorithms running in O(n) time on connected geometric graphs having n ...
David Eppstein, Michael T. Goodrich, Darren Strash
GD
2008
Springer
14 years 10 months ago
An SPQR-Tree Approach to Decide Special Cases of Simultaneous Embedding with Fixed Edges
Abstract. We present a linear-time algorithm for solving the simultaneous embedding problem with fixed edges (SEFE) for a planar graph and a pseudoforest (a graph with at most one...
J. Joseph Fowler, Carsten Gutwenger, Michael J&uum...
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GD
2005
Springer
15 years 3 months ago
Non-planar Core Reduction of Graphs
We present a reduction method that reduces a graph to a smaller core graph which behaves invariant with respect to planarity measures like crossing number, skewness, and thickness....
Carsten Gutwenger, Markus Chimani
STOC
1990
ACM
95views Algorithms» more  STOC 1990»
15 years 1 months ago
Separators in Two and Three Dimensions
a 3-dimensions a separator size where is the ber of 3-simplexes in and is the number of ization of the separator results for planar graphs, such as the and Tarjan planar separator...
Gary L. Miller, William P. Thurston