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shortest-odd-path.html
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<h1 id="article-title">Shortest odd conservative weighted path between two vertices</h1>
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<h1 id="problem">Problem</h1>
<p>Let <span class="math inline">G=(V,E)</span> be a simple undirected graph, and <span class="math inline">w:E \to S</span> be a conservative weight function(no negative cycles), where <span class="math inline">S</span> is an ordered semigroup. Find a shortest path between <span class="math inline">s,t\in V</span> with minimum weight and with odd number of edges.</p>
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<h2 id="reduce-to-minimum-weight-perfect-matching">Reduce to minimum weight perfect matching</h2>
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