Graphs and algorithms
Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
A class of bottleneck expansion problems
Computers and Operations Research
Recent Developments in Maximum Flow Algorithms (Invited Lecture)
SWAT '98 Proceedings of the 6th Scandinavian Workshop on Algorithm Theory
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This paper gives a mathematical description of the undirected network capacity definitions and theorems of computing capacities towards the network. Prove of the theorem correctness is also given. According to them, the paper proposes an algorithm of computing the undirected network capacities based on spanning tree and even an advanced optimization algorithm. In addition, it discusses network capacity expansion problems with constraints. And then, the optimization algorithm in the scenario of undirected network with limited costs is outlined, whose feasibility and process are illustrated via examples.