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» A Linear-Time Graph Kernel
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GD
2005
Springer
15 years 12 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
GD
2001
Springer
15 years 11 months ago
A Characterization of DFS Cotree Critical Graphs
We give a characterization of DFS cotree-critical graphs which is central to the linear time Kuratowski finding algorithm implemented in PIGALE (Public Implementation of a Graph ...
Hubert de Fraysseix, Patrice Ossona de Mendez
JGAA
2008
97views more  JGAA 2008»
15 years 6 months ago
Drawing Bipartite Graphs on Two Parallel Convex Curves
Let G be a bipartite graph, and let e, i be two parallel convex curves; we study the question about whether G admits a planar straight-line drawing such that the vertices of one p...
Emilio Di Giacomo, Luca Grilli, Giuseppe Liotta
GD
2007
Springer
15 years 10 months ago
Efficient Extraction of Multiple Kuratowski Subdivisions
Abstract. A graph is planar if and only if it does not contain a Kuratowski subdivision. Hence such a subdivision can be used as a witness for non-planarity. Modern planarity testi...
Markus Chimani, Petra Mutzel, Jens M. Schmidt
ISAAC
1992
Springer
125views Algorithms» more  ISAAC 1992»
15 years 10 months ago
A Simple Test for the Consecutive Ones Property
A (0,1)-matrix satisfies the consecutive ones property if there exists a column permutation such that the ones in each row of the resulting matrix are consecutive. Booth and Lueke...
Wen-Lian Hsu