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arXiv · 1706.09106

Discrete Convex Functions on Graphs and Their Algorithmic Applications

Hiroshi Hirai
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Abstract

The present article is an exposition of a theory of discrete convex functions on certain graph structures, developed by the author in recent years. This theory is a spin-off of discrete convex analysis by Murota, and is motivated by combinatorial dualities in multiflow problems and the complexity classification of facility location problems on graphs. We outline the theory and algorithmic applications in combinatorial optimization problems.

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Hiroshi Hirai. 2017-06-28. Discrete Convex Functions on Graphs and Their Algorithmic Applications. https://arxiv.org/abs/1706.09106

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