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» Contractions of Planar Graphs in Polynomial Time
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ISAAC
2005
Springer
123views Algorithms» more  ISAAC 2005»
13 years 11 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
GD
2009
Springer
13 years 10 months ago
On Planar Supports for Hypergraphs
A graph G is a support for a hypergraph H = (V, S) if the vertices of G correspond to the vertices of H such that for each hyperedge Si ∈ S the subgraph of G induced by Si is co...
Kevin Buchin, Marc J. van Kreveld, Henk Meijer, Be...
ISAAC
2007
Springer
124views Algorithms» more  ISAAC 2007»
13 years 12 months ago
Approximating the Crossing Number of Toroidal Graphs
Abstract. CrossingNumber is one of the most challenging algorithmic problems in topological graph theory, with applications to graph drawing and VLSI layout. No polynomial time con...
Petr Hlinený, Gelasio Salazar
CORR
2007
Springer
85views Education» more  CORR 2007»
13 years 5 months ago
A multivariate interlace polynomial
We define a multivariate polynomial that generalizes in a unified way the twovariable interlace polynomial defined by Arratia, Bollob´as and Sorkin on the one hand, and a one-...
Bruno Courcelle
CORR
2002
Springer
144views Education» more  CORR 2002»
13 years 5 months ago
Polynomial Time Data Reduction for Dominating Set
Dealing with the NP-complete Dominating Set problem on graphs, we demonstrate the power of data reduction by preprocessing from a theoretical as well as a practical side. In parti...
Jochen Alber, Michael R. Fellows, Rolf Niedermeier