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Graph theory represents one of the most important and interesting areas in computer science. But at the same time it’s one of the most misunderstood (at least it was to me).

Understanding, using and thinking in graphs makes us better programmers. At least that’s how we’re supposed to think. A graph is a set of vertices V and a set of edges E, comprising an ordered pair G=(V, E).

While trying to studying graph theory and implementing some algorithms, I was regularly getting stuck, just because it was so boring.

The best way to understand something is to understand its applications. In this article, we’re going to demonstrate various applications of graph theory. But more importantly, these applications will contain detailed illustrations.

While this approach might seem too detailed (to seasoned programmers), but believe me, as someone who was once there and tried to understand graph theory, detailed explanations are always preferred over succinct definitions.

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