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On the computational behavior of a polynomial-time network flow algorithm

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01585705openalex-snapshot
Finding minimum-cost flows by double scaling
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A unified framework for primal-dual methods in minimum cost network flow problems
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Dual coordinate step methods for linear network flow problems
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A strongly polynomial minimum cost circulation algorithm
inferredcites →https://doi.org/10.1007/bfb0121089openalex-snapshot
An efficient implementation of the network simplex method
inferredcites →https://doi.org/10.1016/0020-0190(78)90016-9openalex-snapshot
An O(|V|3) algorithm for finding maximum flows in networks
inferredcites →https://doi.org/10.1016/0022-0000(83)90006-5openalex-snapshot
A data structure for dynamic trees
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Scaling algorithms for network problems
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Polynomial algorithms in linear programming
inferredcites →https://doi.org/10.1016/0095-8956(80)90075-1openalex-snapshot
Decomposition of regular matroids
inferredcites →https://doi.org/10.1016/s1474-6670(17)55135-6openalex-snapshot
Distributed Asynchronous Relaxation Methods for Linear Network Flow Problems
inferredcites →https://doi.org/10.1057/jors.1981.67openalex-snapshot
Discrete Structures and Algorithms
inferredcites →https://doi.org/10.1137/0109002openalex-snapshot
An Out-of-Kilter Method for Minimal-Cost Flow Problems
inferredcites →https://doi.org/10.1137/0218065openalex-snapshot
Improved Time Bounds for the Maximum Flow Problem
inferredcites →https://doi.org/10.1137/0325006openalex-snapshot
Distributed Asynchronous Relaxation Methods for Convex Network Flow Problems
inferredcites →https://doi.org/10.1137/1.9781611970265openalex-snapshot
Data Structures and Network Algorithms
inferredcites →https://doi.org/10.1145/12130.12144openalex-snapshot
A new approach to the maximum flow problem
inferredcites →https://doi.org/10.1145/28869.28874openalex-snapshot
Fibonacci heaps and their uses in improved network optimization algorithms
inferredcites →https://doi.org/10.1145/321694.321699openalex-snapshot
Theoretical Improvements in Algorithmic Efficiency for Network Flow Problems
inferredcites →https://doi.org/10.1145/48014.61051openalex-snapshot
A new approach to the maximum-flow problem
inferredcites →https://doi.org/10.1145/62212.62249openalex-snapshot
A faster strongly polynomial minimum cost flow algorithm
inferredcites →https://doi.org/10.1198/tech.2005.s303openalex-snapshot
Applied Regression Analysis
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NETGEN: A Program for Generating Large Scale Capacitated Assignment, Transportation, and Minimum Cost Flow Network Problems
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Exceptional Paper—Design and Implementation of Large Scale Primal Transshipment Algorithms
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Finding Minimum-Cost Circulations by Successive Approximation
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A Strongly Polynomial Algorithm to Solve Combinatorial Linear Programs
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Network Flow Algorithms
inferredcites →https://doi.org/10.21236/ada457044openalex-snapshot
A Faster Strongly Polynomial Minimum Cost Flow Algorithm
inferredcites →https://doi.org/10.2307/1267833openalex-snapshot
Applied Regression Analysis

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Distance-directed augmenting path algorithms for maximum flow and parametric maximum flow problems
inferred← citeshttps://doi.org/10.1002/9780470400531.eorms0509openalex-snapshot
Maximum Flow Algorithms
inferred← citeshttps://doi.org/10.1006/jagm.1995.0805openalex-snapshot
An Efficient Implementation of a Scaling Minimum-Cost Flow Algorithm
inferred← citeshttps://doi.org/10.1007/978-0-387-30165-5_6openalex-snapshot
Minimum Cost Network Flow Algorithms
inferred← citeshttps://doi.org/10.1007/978-1-4614-0754-6_13openalex-snapshot
Optimal Flows in Dynamic Networks and Algorithms for their Finding
inferred← citeshttps://doi.org/10.1007/978-3-642-12686-4_2openalex-snapshot
Algorithms for Finding Optimal Flows in Dynamic Networks
inferred← citeshttps://doi.org/10.1007/978-3-642-59179-2_14openalex-snapshot
An Efficient Implementation of the Network Simplex Method
inferred← citeshttps://doi.org/10.1007/bf01589405openalex-snapshot
Dual coordinate step methods for linear network flow problems
inferred← citeshttps://doi.org/10.1007/bf02186476openalex-snapshot
The auction algorithm: A distributed relaxation method for the assignment problem
inferred← citeshttps://doi.org/10.1007/bf02614372openalex-snapshot
Multiflows and disjoint paths of minimum total cost
inferred← citeshttps://doi.org/10.1007/bfb0049391openalex-snapshot
Optimization algorithms for large networks
inferred← citeshttps://doi.org/10.1007/s00224-017-9776-7openalex-snapshot
Minimum-Cost Flows in Unit-Capacity Networks
inferred← citeshttps://doi.org/10.1007/s00453-004-1085-2openalex-snapshot
A Cut-Based Algorithm for the Nonlinear Dual of the Minimum Cost Network Flow Problem
inferred← citeshttps://doi.org/10.1007/s10107-010-0378-2openalex-snapshot
Separation, dimension, and facet algorithms for node flow polyhedra
inferred← citeshttps://doi.org/10.1007/s11069-015-2134-7openalex-snapshot
Emergency evacuation planning against dike-break flood: a GIS-based DSS for flood detention basin of Jingjiang in central China
inferred← citeshttps://doi.org/10.1007/s40305-025-00620-0openalex-snapshot
Time-Dependent Minimum Cost Dynamic Flow Problems
inferred← citeshttps://doi.org/10.1016/0166-218x(93)90025-jopenalex-snapshot
Two strongly polynomial cut cancelling algorithms for minimum cost network flow
inferred← citeshttps://doi.org/10.1016/j.orl.2020.04.004openalex-snapshot
An implementation of steepest-descent augmentation for linear programs
inferred← citeshttps://doi.org/10.1016/j.trb.2014.05.016openalex-snapshot
Cost scaling based successive approximation algorithm for the traffic assignment problem
inferred← citeshttps://doi.org/10.1016/s0020-0190(00)00052-1openalex-snapshot
A fast cost scaling algorithm for submodular flow
inferred← citeshttps://doi.org/10.1016/s0167-6377(99)00047-4openalex-snapshot
A new scaling algorithm for the minimum cost network flow problem
inferred← citeshttps://doi.org/10.1016/s0895-7177(98)00074-0openalex-snapshot
A warm-start dual simplex solution algorithm for the minimum flow networks with postoptimality analyses
inferred← citeshttps://doi.org/10.1016/s0927-0507(89)01005-4openalex-snapshot
Chapter IV Network flows
inferred← citeshttps://doi.org/10.1016/s1474-6670(17)55135-6openalex-snapshot
Distributed Asynchronous Relaxation Methods for Linear Network Flow Problems
inferred← citeshttps://doi.org/10.1017/9781316888568openalex-snapshot
Network Flow Algorithms
inferred← citeshttps://doi.org/10.1017/9781316888568.001openalex-snapshot
Preface
inferred← citeshttps://doi.org/10.1017/9781316888568.002openalex-snapshot
Acknowledgements
inferred← citeshttps://doi.org/10.1017/9781316888568.003openalex-snapshot
Preliminaries: Shortest Path Algorithms
inferred← citeshttps://doi.org/10.1017/9781316888568.004openalex-snapshot
Maximum Flow Algorithms
inferred← citeshttps://doi.org/10.1017/9781316888568.005openalex-snapshot
Global Minimum Cut Algorithms
inferred← citeshttps://doi.org/10.1017/9781316888568.006openalex-snapshot
More Maximum Flow Algorithms
inferred← citeshttps://doi.org/10.1017/9781316888568.007openalex-snapshot
Minimum-Cost Circulation Algorithms
inferred← citeshttps://doi.org/10.1017/9781316888568.008openalex-snapshot
Generalized Flow Algorithms
inferred← citeshttps://doi.org/10.1017/9781316888568.009openalex-snapshot
Multicommodity Flow Algorithms
inferred← citeshttps://doi.org/10.1017/9781316888568.010openalex-snapshot
Electrical Flow Algorithms
inferred← citeshttps://doi.org/10.1017/9781316888568.011openalex-snapshot
Open Questions
inferred← citeshttps://doi.org/10.1017/9781316888568.012openalex-snapshot
Author Index
inferred← citeshttps://doi.org/10.1017/9781316888568.013openalex-snapshot
Index
inferred← citeshttps://doi.org/10.1080/02331939508844049openalex-snapshot
A comprehensive simplex-like algorithm for network optimization and perturbation analysis
inferred← citeshttps://doi.org/10.1080/10556788.2014.895828openalex-snapshot
Minimum-cost flow algorithms: an experimental evaluation
inferred← citeshttps://doi.org/10.1080/23249935.2017.1352626openalex-snapshot
Minimum cost flow problem formulation for the static vehicle allocation problem with stochastic lane demand in truckload strategic planning
inferred← citeshttps://doi.org/10.1137/0325006openalex-snapshot
Distributed Asynchronous Relaxation Methods for Convex Network Flow Problems
inferred← citeshttps://doi.org/10.1137/151002915openalex-snapshot
On Augmentation Algorithms for Linear and Integer-Linear Programming: From Edmonds--Karp to Bland and Beyond
inferred← citeshttps://doi.org/10.1137/s0097539792231179openalex-snapshot
Scaling Algorithms for the Shortest Paths Problem
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An $\epsilon$-Relaxation Method for Separable Convex Cost Network Flow Problems
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Solving minimum-cost flow problems by successive approximation
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A faster strongly polynomial minimum cost flow algorithm
inferred← citeshttps://doi.org/10.1145/62212.62250openalex-snapshot
Finding minimum-cost circulations by canceling negative cycles
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Finding minimum-cost circulations by canceling negative cycles
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On the Minimum Potential Energy State and the Eddy Size–Constrained APE Density
inferred← citeshttps://doi.org/10.1287/ijoc.8.3.318openalex-snapshot
Use of Representative Operation Counts in Computational Testing of Algorithms
inferred← citeshttps://doi.org/10.1287/moor.16.2.272openalex-snapshot
Efficiency of the Primal Network Simplex Algorithm for the Minimum-Cost Circulation Problem
inferred← citeshttps://doi.org/10.1287/moor.22.1.90openalex-snapshot
Scaling Methods for Finding a Maximum Free Multiflow of Minimum Cost
inferred← citeshttps://doi.org/10.1287/opre.41.2.338openalex-snapshot
A Faster Strongly Polynomial Minimum Cost Flow Algorithm
inferred← citeshttps://doi.org/10.15476/elte.2019.029openalex-snapshot
Efficient Algorithms for Graph Optimization Problems
inferred← citeshttps://doi.org/10.21236/ada214689openalex-snapshot
Network Flow Algorithms
inferred← citeshttps://doi.org/10.21236/ada457044openalex-snapshot
A Faster Strongly Polynomial Minimum Cost Flow Algorithm
inferred← citeshttps://doi.org/10.4230/lipics.stacs.2015.406openalex-snapshot
Minimum Cost Flows in Graphs with Unit Capacities
inferred← citeshttps://doi.org/10.48550/arxiv.1207.6381openalex-snapshot
Efficient implementations of minimum-cost flow algorithms
inferred← citeshttps://doi.org/10.48550/arxiv.1306.6728openalex-snapshot
Min-Cost Flow Duality in Planar Networks
inferred← citeshttps://doi.org/10.5555/313559.313756openalex-snapshot
Scaling algorithms for the shortest paths problem
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