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Integer programming and its applications
Eliáš, Marek ; Pergel, Martin (advisor) ; Hladík, Milan (referee)
In this thesis we present and implement several graph algorithms. In the rst part, we discus algorithm for the minimum weighted perfect matching in bipartite and general graphs based on the primal-dual method and their modi cations. In the second part, there are algorithms for the max-cut in planar graphs and Christo des' heuristic for TSP. We present full descriptions of these algorithms providing either proof of correctness or reference to the literature. The last part deals with two approaches which we use to visualise these algorithms with di erent degree of interactivity both allowing custom graph on input.

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