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» The Complexity of Graph Connectivity
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JGT
2010
90views more  JGT 2010»
13 years 8 months ago
The rainbow connection of a graph is (at most) reciprocal to its minimum degree
An edge-colored graph G is rainbow edge-connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connection of a connected graph G, deno...
Michael Krivelevich, Raphael Yuster
AUTOMATICA
2010
113views more  AUTOMATICA 2010»
13 years 10 months ago
Decentralized estimation and control of graph connectivity for mobile sensor networks
The ability of a robot team to reconfigure itself is useful in many applications: for metamorphic robots to change shape, for swarm motion towards a goal, for biological systems to...
Peng Yang, Randy A. Freeman, G. J. Gordon, Kevin M...
GD
2004
Springer
14 years 3 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
ESA
2005
Springer
145views Algorithms» more  ESA 2005»
14 years 3 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...
ALGORITHMICA
2002
71views more  ALGORITHMICA 2002»
13 years 10 months ago
Routing Flow Through a Strongly Connected Graph
It is shown that, for every strongly connected network in which every edge has capacity at least , linear time suffices to send flow from source vertices, each with a given supply,...
Thomas Erlebach, Torben Hagerup