Graph Balancing with Two Edge Types

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...

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Hauptverfasser:	Chakrabarty, Deeparnab, Shiragur, Kirankumar
Format:	Artikel
Sprache:	eng
Schlagworte:	Computer Science - Data Structures and Algorithms
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Beschreibung
Zusammenfassung:	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.
DOI:	10.48550/arxiv.1604.06918