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106
Voted
NETWORKS
2006
14 years 11 months ago
Lower bounds for the relative greedy algorithm for approximating Steiner trees
Abstract. The Steiner tree problem is to find a shortest subgraph that spans a given set of vertices in a graph. This problem is known to be NP-hard and it is well known that a pol...
Stefan Hougardy, Stefan Kirchner
NETWORKS
2006
14 years 11 months ago
A bidirected generalization of network matrices
We define binet matrices, which furnish a direct generalization of totally unimodular network matrices and arise from the node-edge incidence matrices of bidirected graphs in the ...
Gautam Appa, Balázs Kotnyek
93
Voted
NETWORKS
2006
14 years 11 months ago
The multiroute maximum flow problem revisited
We are given a directed network G = (V, A, u) with vertex set V , arc set A, a source vertex s V , a destination vertex t V , a finite capacity vector u = {uij}ijA, and a positi...
Donglei Du, R. Chandrasekaran