Graph Balancing with Two Edge Types

April 23, 2016 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Deeparnab Chakrabarty, Kirankumar Shiragur arXiv ID 1604.06918 Category cs.DS: Data Structures & Algorithms Citations 6 Venue arXiv.org Last Checked 4 months ago
Abstract
In the graph balancing problem the goal is to orient a weighted undirected graph to minimize the maximum weighted in-degree. This special case of makespan minimization is NP-hard to approximate to a factor better than 3/2 even when there are only two types of edge weights. In this note we describe a simple 3/2 approximation for the graph balancing problem with two-edge types, settling this very special case of makespan minimization.
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