"Mastering Maximum Flow: A Deep Dive into Ford-Fulkerson, Edmonds-Karp, and Push-Relabel Algorithms"

Introduction : In today’s interconnected world, efficient data movement is the backbone of modern infrastructure. From routing internet traffic to managing transportation networks and optimizing supply chains, systems often face the challenge of managing flow. At its core, many of these problems can be modeled using network flow algorithms , which help us determine the best way to move resources (like data, vehicles, or materials) from one point to another while minimizing costs or maximizing throughput. Whether it's managing bandwidth in a telecommunications network or planning the most efficient shipping routes, network flow problems are critical to numerous industries. One of the most prominent examples is internet traffic management. As data moves through networks, routers and servers need to decide how much data (or flow) can travel across various links without causing congestion. In this scenario, algorithms that determine the maximum flow from one node to another, while res...