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» Edge Disjoint Paths in Moderately Connected Graphs
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COCOON
2001
Springer
14 years 1 days ago
Finding the Most Vital Node of a Shortest Path
In an undirected, 2-node connected graph G = (V, E) with positive real edge lengths, the distance between any two nodes r and s is the length of a shortest path between r and s in ...
Enrico Nardelli, Guido Proietti, Peter Widmayer
STOC
2010
ACM
170views Algorithms» more  STOC 2010»
13 years 12 months ago
Connectivity oracles for failure prone graphs
Dynamic graph connectivity algorithms have been studied for many years, but typically in the most general possible setting, where the graph can evolve in completely arbitrary ways...
Ran Duan, Seth Pettie
JDA
2010
122views more  JDA 2010»
13 years 2 months ago
Subexponential parameterized algorithms for degree-constrained subgraph problems on planar graphs
We present subexponential parameterized algorithms on planar graphs for a family of problems of the following shape: given a graph, find a connected (induced) subgraph with bounde...
Ignasi Sau, Dimitrios M. Thilikos
STACS
2009
Springer
14 years 2 months ago
Hardness and Algorithms for Rainbow Connectivity
An edge-colored graph G is rainbow connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connectivity of a connected graph G, denoted ...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah, ...
GD
2007
Springer
14 years 1 months ago
Line Crossing Minimization on Metro Maps
We consider the problem of drawing a set of simple paths along the edges of an embedded underlying graph G = (V, E), so that the total number of crossings among pairs of paths is m...
Michael A. Bekos, Michael Kaufmann, Katerina Potik...