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weamp;#39;re going to talk about network flows and I donamp;#39;t want this video to be an exhaustive resource for this itamp;#39;s just going to be carrying the intuition to you of kind of the roadblocks that I had to understanding this concept so that you can understand this as well we have a graph here and this is called a flow Network and all it is is a directed graph which you can also call a digraph which is a set of vertices a set of edges so thereamp;#39;s a set of vertices a set of edges and every one of these edges indicates a capacity weamp;#39;re going to denote that as C of E the capacity of the eath edge or edge e every single edge has a capacity C sub e and we have a start vertex which is a vertex with in degree zero and we have a sink T and a sink just means that itamp;#39;s a vertex with no outward going edges so itamp;#39;s out degree is zero and so what flow networks are all about is that each one of these edges are kind of like pipes and what our goal is is t