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ISAAC
1997
Springer
162views Algorithms» more  ISAAC 1997»
13 years 11 months ago
A Randomized Linear Work EREW PRAM Algorithm to Find a Minimum Spanning Forest
We present a randomized EREW PRAM algorithm to nd a minimum spanning forest in a weighted undirected graph. On an n-vertex graph the algorithm runs in o((logn)1+ ) expected time f...
Chung Keung Poon, Vijaya Ramachandran
FSTTCS
2008
Springer
13 years 8 months ago
Pruning 2-Connected Graphs
Given an edge-weighted undirected graph G with a specified set of terminals, let the density of any subgraph be the ratio of its weight/cost to the number of terminals it contain...
Chandra Chekuri, Nitish Korula
FOCS
2006
IEEE
14 years 1 months ago
Lower Bounds for Additive Spanners, Emulators, and More
An additive spanner of an unweighted undirected graph G with distortion d is a subgraph H such that for any two vertices u, v ∈ G, we have δH(u, v) ≤ δG(u, v) + d. For every...
David P. Woodruff
WEA
2005
Springer
98views Algorithms» more  WEA 2005»
14 years 26 days ago
Implementing Minimum Cycle Basis Algorithms
Abstract. In this paper we consider the problem of computing a minimum cycle basis of an undirected graph G = (V, E) with n vertices and m edges. We describe an efficient implement...
Kurt Mehlhorn, Dimitrios Michail
CATS
2008
13 years 8 months ago
Graph Classes and the Complexity of the Graph Orientation Minimizing the Maximum Weighted Outdegree
Given an undirected graph with edge weights, we are asked to find an orientation, i.e., an assignment of a direction to each edge, so as to minimize the weighted maximum outdegree...
Yuichi Asahiro, Eiji Miyano, Hirotaka Ono