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ESA
2009
Springer
127views Algorithms» more  ESA 2009»
16 years 9 days ago
Maximum Flow in Directed Planar Graphs with Vertex Capacities
In this paper we present an O(n log n) algorithm for finding a maximum flow in a directed planar graph, where the vertices are subject to capacity constraints, in addition to the...
Haim Kaplan, Yahav Nussbaum
SODA
2004
ACM
152views Algorithms» more  SODA 2004»
15 years 7 months ago
Approximation schemes for minimum 2-edge-connected and biconnected subgraphs in planar graphs
Given an undirected graph, finding either a minimum 2-edge-connected spanning subgraph or a minimum 2vertex-connected (biconnected) spanning subgraph is MaxSNP-hard. We show that ...
Artur Czumaj, Michelangelo Grigni, Papa Sissokho, ...
STACS
2010
Springer
15 years 10 months ago
Approximate Shortest Paths Avoiding a Failed Vertex: Optimal Size Data Structures for Unweighted Graphs
Let G = (V, E) be any undirected graph on V vertices and E edges. A path P between any two vertices u, v ∈ V is said to be t-approximate shortest path if its length is at most t ...
Neelesh Khanna, Surender Baswana
TCOS
2010
15 years 4 months ago
Approximate Shortest Path Queries Using Voronoi Duals
We propose an approximation method to answer point-to-point shortest path queries in undirected edge-weighted graphs, based on random sampling and Voronoi duals. We compute a simp...
Shinichi Honiden, Michael E. Houle, Christian Somm...
ISAAC
1997
Springer
162views Algorithms» more  ISAAC 1997»
15 years 10 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