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An LP-rounding -approximation for restricted maximum acyclic subgraph
Authors:Fabrizio Grandoni  Tomasz Kociumaka  Michał Włodarczyk
Affiliation:1. IDSIA, University of Lugano, Switzerland;2. Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Poland
Abstract:In the classical Maximum Acyclic Subgraph problem (MAS), given a directed-edge weighted graph, we are required to find an ordering of the nodes that maximizes the total weight of forward-directed edges. MAS admits a 2-approximation, and this approximation is optimal under the Unique Game Conjecture.
Keywords:Approximation algorithms   Directed graphs   Vertex pricing   Linear programming   Derandomization
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