In a flow network, a cut refers to dividing the network into two disjoint subsets, where all flow goes from one subset to the other. The capacity of a cut is the sum of the capacities of the edges that cross the cut, serving as an upper bound on the maximum possible flow from the source to the sink in the network.

Cut In A Flow Network

A flow network is a directed graph where each edge has a capacity and each flow must not exceed the capacity, typically used to model the flow of resources through a system. The goal is often to find the maximum flow from a source node to a sink node, which can be efficiently computed using algorithms like the Ford-Fulkerson method.

flow network

The concept of 'Cut' is multifaceted, encompassing physical separation, reduction, and editing across various contexts such as material sciences, filmmaking, and economics. Understanding 'Cut' involves recognizing its role in altering form, function, or perception, whether through a literal division or a metaphorical reduction.

disjoint subsets

capacity of a cut

capacities of the edges

maximum possible flow

A 'source' refers to the origin or provider of information, data, or materials, serving as a foundation for understanding, analysis, or investigation. It is crucial in determining the credibility, relevance, and context of the information being used or referenced.

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