Graph Balancing with Two Edge Types

Deeparnab Chakrabarty; Kirankumar Shiragur

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arXiv · 1604.06918

Graph Balancing with Two Edge Types

Deeparnab Chakrabarty·Kirankumar Shiragur

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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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Deeparnab Chakrabarty, Kirankumar Shiragur. 2016-04-23. Graph Balancing with Two Edge Types. https://arxiv.org/abs/1604.06918

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