Lecture Notes for IEOR 266: The Pseudoflow Algorithm Graph Algorithms and Network Flows
نویسنده
چکیده
3 Minimum cost network flow problem 5 3.1 Transportation problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.2 The maximum flow problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 3.3 The shortest path problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 3.4 The single source shortest paths . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.5 The bipartite matching problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.6 Summary of classes of network flow problems . . . . . . . . . . . . . . . . . . . . . . 11 3.7 Negative cost cycles in graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
منابع مشابه
Lecture Notes for IEOR 266: Graph Algorithms and Network Flows
3 Minimum cost network flow problem 5 3.1 Transportation problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.2 The maximum flow problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 3.3 The shortest path problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 3.4 The single source shortest paths . . . . . . . . . . . . . . . . ...
متن کاملIEOR 266 , Fall 2008 Graph Algorithms and Network Flows
3 Minimum cost network flow problem 5 3.1 Transportation problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.2 The maximum flow problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 3.3 The shortest path problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 3.4 The single source shortest paths . . . . . . . . . . . . . . . . ...
متن کاملThe Pseudoflow Algorithm: A New Algorithm for the Maximum-Flow Problem
We introduce the pseudoflow algorithm for the maximum-flow problem that employs only pseudoflows and does not generate flows explicitly. The algorithm solves directly a problem equivalent to the minimum-cut problem—the maximum blocking-cut problem. Once the maximum blocking-cut solution is available, the additional complexity required to find the respective maximum-flow is O m logn . A variant ...
متن کاملPractical and theoretical improvements for bipartite matching using the pseudoflow algorithm
We show that the pseudoflow algorithm for maximum flow is particularly efficient for the bipartite matching problem both in theory and in practice. We develop several implementations of the pseudoflow algorithm for bipartite matching, and compare them over a wide set of benchmark instances to state-ofthe-art implementations of push-relabel and augmenting path algorithms that are specifically de...
متن کاملSampling from social networks’s graph based on topological properties and bee colony algorithm
In recent years, the sampling problem in massive graphs of social networks has attracted much attention for fast analyzing a small and good sample instead of a huge network. Many algorithms have been proposed for sampling of social network’ graph. The purpose of these algorithms is to create a sample that is approximately similar to the original network’s graph in terms of properties such as de...
متن کامل