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RSA
2008
123views more  RSA 2008»
13 years 7 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
ISAAC
2005
Springer
123views Algorithms» more  ISAAC 2005»
14 years 1 months ago
Sampling Unlabeled Biconnected Planar Graphs
We present an expected polynomial time algorithm to generate a 2-connected unlabeled planar graph uniformly at random. To do this we first derive recurrence formulas to count the ...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
ICALP
2003
Springer
14 years 23 days ago
Generating Labeled Planar Graphs Uniformly at Random
Abstract. We present an expected polynomial time algorithm to generate a labeled planar graph uniformly at random. To generate the planar graphs, we derive recurrence formulas that...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
CORR
2002
Springer
115views Education» more  CORR 2002»
13 years 7 months ago
Simultaneous Embedding of a Planar Graph and Its Dual on the Grid
Traditional representations of graphs and their duals suggest the requirement that the dual vertices should be placed inside their corresponding primal faces, and the edges of the ...
Cesim Erten, Stephen G. Kobourov
GD
2005
Springer
14 years 1 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