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minimum-spanning-arborescence.html
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<h1 id="article-title">Minimum Spanning Arborescence</h1>
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<h1 id="problem">Problem</h1>
<p>Let <span class="math inline">D=(V,A)</span> be a connected graph of <span class="math inline">n</span> vertices and <span class="math inline">m</span> edges. <span class="math inline">r</span> be a specified vertex. <span class="math inline">w:A\to \R</span>. We want to find a <span class="math inline">r</span>-arborescence <span class="math inline">R</span> with minimum total weight.</p>
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<h1 id="algorithms">Algorithms</h1>
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<li><span class="math inline">O(m+n\log n)</span> Edmonds’ algorithm with Gabow et. al.’s implementation H. N. Gabow, Z. Galil, T. Spencer, and R. E. Tarjan, “Efficient algorithms for finding minimum spanning trees in undirected and directed graphs,” Combinatorica 6 (1986), 109-122.</li>
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