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JGT
2010
103views more  JGT 2010»
13 years 8 months ago
Characterizing 3-connected planar graphs and graphic matroids
: A well-known result of Tutte states that a 3-connected graph G is planar if and only if every edge of G is contained in exactly two induced non-separating circuits. Bixby and Cun...
Manoel Lemos, Talmage James Reid, Haidong Wu
GD
1999
Springer
14 years 2 months ago
Drawing Planar Graphs with Circular Arcs
In this paper we address the problem of drawing planar graphs with circular arcs while maintaining good angular resolution and small drawing area. We present a lower bound on the a...
C. C. Cheng, Christian A. Duncan, Michael T. Goodr...
FOCS
2004
IEEE
14 years 1 months ago
Edge-Disjoint Paths in Planar Graphs
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs (demands) s1t1, s2t2, . . ., sktk, the goal is to maximize the number ...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd
ALGORITHMICA
1998
94views more  ALGORITHMICA 1998»
13 years 9 months ago
A Fully Dynamic Approximation Scheme for Shortest Paths in Planar Graphs
In this paper we give a fully dynamic approximation scheme for maintaining all-pairs shortest paths in planar networks. Given an error parameter ε such that 0 < ε, our algorit...
Philip N. Klein, Sairam Subramanian
ISAAC
2009
Springer
103views Algorithms» more  ISAAC 2009»
14 years 4 months ago
Tri-Edge-Connectivity Augmentation for Planar Straight Line Graphs
It is shown that if a planar straight line graph (PSLG) with n vertices in general position in the plane can be augmented to a 3-edge-connected PSLG, then 2n−2 new edges are enou...
Marwan Al-Jubeh, Mashhood Ishaque, Kristóf ...