Graph Balancing with Two Edge Types
April 23, 2016 Β· Declared Dead Β· π 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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