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» Group connectivity of graphs with diameter at most 2
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DAM
2002
76views more  DAM 2002»
15 years 1 months ago
Block duplicate graphs and a hierarchy of chordal graphs
A block graph is a graph whose blocks are cliques. A block duplicate (BD) graph is a graph obtained by adding true twins (i.e., adjacent vertices with the same closed neighborhood...
Martin Charles Golumbic, Uri N. Peled
106
Voted
SODA
2010
ACM
178views Algorithms» more  SODA 2010»
15 years 11 months ago
Tree Embeddings for Two-Edge-Connected Network Design
The group Steiner problem is a classical network design problem where we are given a graph and a collection of groups of vertices, and want to build a min-cost subgraph that conne...
Anupam Gupta, Ravishankar Krishnaswamy, R. Ravi
GD
2004
Springer
15 years 7 months ago
Convex Drawings of 3-Connected Plane Graphs
We use Schnyder woods of 3-connected planar graphs to produce convex straight line drawings on a grid of size (n − 2 − ∆) × (n − 2 − ∆). The parameter ∆ ≥ 0 depen...
Nicolas Bonichon, Stefan Felsner, Mohamed Mosbah
ICALP
2009
Springer
16 years 2 months ago
Node-Weighted Steiner Tree and Group Steiner Tree in Planar Graphs
We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Philip ...
GD
2004
Springer
15 years 7 months ago
Really Straight Graph Drawings
We study straight-line drawings of graphs with few segments and few slopes. Optimal results are obtained for all trees. Tight bounds are obtained for outerplanar graphs, 2-trees, a...
Vida Dujmovic, Matthew Suderman, David R. Wood