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We want to design an approximation algorithm for the minimum vertex cover problem. And then we want to prove approximation guarantees for that algorithm. To design our algorithm, we will use something called the pricing method, which is a technique that can be used for the design of approximation algorithms for different problems. You have to modify the technique a little bit depending on the problem, but thereamp;#39;s kind of a general idea behind it. In the vertex cover problem each edge has to be covered by an incident vertex and the intuitive idea behind the design of our algorithm is that we think of the edge as wanting one of the vertices to cover it, and the edge will pay a price to use one of its incident vertices. But several edges can be covered with just a single vertex if all those edges are incident to that vertex, so edges can join together to docHub the price of that vertex. With this intuition, it would make sense that if we have a number of edges that have a single ve
