CME 305: Discrete Mathematics and Algorithms
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چکیده
In each iteration i of this algorithm there is a ow fi and a residual graph Gfi is constructed by for every edge e ∈ E decreasing the capacity of e by fi(e) and adding an edge in the reverse direction of e with capacity fi(e). A ow in this residual graph, gi, is computed and we update our ow fi by essentially adding gi. As we saw the residual graph was constructed precisely so that the set of feasible ows in the residual graph correspond to the set of ows that can be added to fi while preserving feasibility.
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CME 305: Discrete Mathematics and Algorithms
In this lecture we be begin our tour of discrete mathematics and algorithms by looking at one of the most fundamental and classic problems in combinatorial optimization and graph theory, computing the edge connectivity of an undirected, unweighted graph. In the next few lectures we will take a more principled and fundamental approach to graph theory and connectivity. The goal of today is to get...
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