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DISOPT
2008
93views more  DISOPT 2008»
13 years 5 months ago
Exploiting planarity in separation routines for the symmetric traveling salesman problem
At present, the most successful approach to solving large-scale instances of the Symmetric Traveling Salesman Problem to optimality is branch-and-cut. The success of branch-and-cu...
Adam N. Letchford, Nicholas A. Pearson
JGAA
2006
60views more  JGAA 2006»
13 years 5 months ago
NP-completeness of the Planar Separator Problems
Junichiro Fukuyama
SIAMCOMP
1998
85views more  SIAMCOMP 1998»
13 years 4 months ago
Separator-Based Sparsification II: Edge and Vertex Connectivity
We consider the problem of maintaining a dynamic planar graph subject to edge insertions and edge deletions that preserve planarity but that can change the embedding. We describe a...
David Eppstein, Zvi Galil, Giuseppe F. Italiano, T...
LATIN
1995
Springer
13 years 8 months ago
Linear-Time Algorithms for Parametric Minimum Spanning Tree Problems on Planar Graphs
A linear-time algorithm for the minimum-ratio spanning tree problem on planar graphs is presented. The algorithm is based on a new planar minimum spanning tree algorithm. The appr...
David Fernández-Baca, Giora Slutzki
ALGORITHMICA
2011
13 years 9 days ago
Crossing Number and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G−e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from diffe...
Sergio Cabello, Bojan Mohar