Lecture notes for “Advanced Graph Algorithms”: Verification of Minimum Spanning Trees
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چکیده
We present a deterministic linear time algorithm for the Tree Path Maxima problem. As a corollary, we obtain a deterministic linear time algorithm for checking whether a given spanning tree T of a weighted graph is a minimum spanning tree.
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Lecture notes for “Analysis of Algorithms”: Minimum Spanning Trees
We present a general framework for obtaining efficient algorithms for computing minimum spanning trees. We use this framework to derive the classical algorithms of Prim, Kruskal and Bor̊uvka. We then describe the randomized linear-time algorithm of Karger, Klein and Tarjan. The algorithm of Karger, Klein and Tarjan uses deterministic linear-time implementations of a verification algorithm of Kom...
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تاریخ انتشار 2009