A weighted bipartite graph is a type of graph that is divided into two distinct sets of vertices with edges connecting only between these sets, not within them, and each edge has an associated weight. This structure is particularly useful for modeling and solving problems where relationships between two different types of entities need to be quantified, such as in assignment problems, matching problems, or network flow problems.

Weighted Bipartite Graph

weighted bipartite graph

distinct sets of vertices

edges connecting

associated weight

modeling and solving problems

relationships between two different types of entities

assignment problems

matching problems

Network flow problems involve determining the optimal way to route flow through a network from sources to sinks while satisfying capacity constraints on the edges. These problems are fundamental in operations research and computer science, with applications in transportation, telecommunications, and supply chain optimization.

network flow problems

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