Max Flow Problem

The Max Flow Problem involves finding the greatest possible amount of something—like water, data, or resources—that can move from one point (source) to another (sink) through a network of interconnected paths, each with limited capacity. Think of it like determining how much water can flow from a reservoir to a city through pipes without overflowing any pipe. The goal is to maximize this flow while respecting each path's capacity constraints. This problem has applications in transportation, communication networks, and logistics, helping optimize how resources are distributed efficiently within systems.