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FOCS
1995
IEEE
15 years 5 months ago
Disjoint Paths in Densely Embedded Graphs
We consider the following maximum disjoint paths problem (mdpp). We are given a large network, and pairs of nodes that wish to communicate over paths through the network — the g...
Jon M. Kleinberg, Éva Tardos
APPROX
2009
Springer
195views Algorithms» more  APPROX 2009»
15 years 8 months ago
Approximating Node-Connectivity Augmentation Problems
The (undirected) Node Connectivity Augmentation (NCA) problem is: given a graph J = (V, EJ ) and connectivity requirements {r(u, v) : u, v ∈ V }, find a minimum size set I of n...
Zeev Nutov
ALGORITHMICA
1998
184views more  ALGORITHMICA 1998»
15 years 1 months ago
Approximation Algorithms for Connected Dominating Sets
The dominatingset problemin graphs asks for a minimumsize subset of vertices with the followingproperty: each vertex is required to either be in the dominating set, or adjacent to...
Sudipto Guha, Samir Khuller
ISAAC
2000
Springer
135views Algorithms» more  ISAAC 2000»
15 years 5 months ago
On Approximating Minimum Vertex Cover for Graphs with Perfect Matching
It has been a challenging open problem whether there is a polynomial time approximation algorithm for the Vertex Cover problem whose approximation ratio is bounded by a constant l...
Jianer Chen, Iyad A. Kanj
STOC
2005
ACM
135views Algorithms» more  STOC 2005»
16 years 2 months ago
Quadratic forms on graphs
We introduce a new graph parameter, called the Grothendieck constant of a graph G = (V, E), which is defined as the least constant K such that for every A : E R, sup f:V S|V |-1 ...
Noga Alon, Konstantin Makarychev, Yury Makarychev,...