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» Maximal biconnected subgraphs of random planar graphs
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TALG
2010
65views more  TALG 2010»
13 years 3 months ago
Maximal biconnected subgraphs of random planar graphs
Konstantinos Panagiotou, Angelika Steger
SODA
2004
ACM
152views Algorithms» more  SODA 2004»
13 years 6 months ago
Approximation schemes for minimum 2-edge-connected and biconnected subgraphs in planar graphs
Given an undirected graph, finding either a minimum 2-edge-connected spanning subgraph or a minimum 2vertex-connected (biconnected) spanning subgraph is MaxSNP-hard. We show that ...
Artur Czumaj, Michelangelo Grigni, Papa Sissokho, ...
ISAAC
2005
Springer
123views Algorithms» more  ISAAC 2005»
13 years 10 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
ISAAC
1995
Springer
97views Algorithms» more  ISAAC 1995»
13 years 8 months ago
A Linear Time Algorithm For Finding Maximal Planar Subgraphs
Given an undirected graph G, the maximal planar subgraph problem is to determine a planar subgraph H of G such that no edge of G-H can be added to H without destroying planarity. P...
Wen-Lian Hsu
ESA
2005
Springer
145views Algorithms» more  ESA 2005»
13 years 10 months ago
Approximation Schemes for Minimum 2-Connected Spanning Subgraphs in Weighted Planar Graphs
Abstract. We present new approximation schemes for various classical problems of finding the minimum-weight spanning subgraph in edge-weighted undirected planar graphs that are re...
André Berger, Artur Czumaj, Michelangelo Gr...