Abstract

On the Hardness of Approximating the $k$-Way Hypergraph Cut problem

Highlights

  • The result in this paper is on the hardness of approximating k-WAY HYPERGRAPH CUT when k is part of the input; we note that if k is a fixed constant there is a polynomial-time algorithm for k-WAY HYPERGRAPH CUT due to recent work [4, 3]

  • We consider the following problem.k-WAY HYPERGRAPH CUT: Let G = (V, E) be a hypergraph with edge weights given by w : E → R+

  • Manurangsi [12] showed that under the Exponential Time Hypothesis (ETH), DENSEST -SUBGRAPH is hard to approximate to a factor better than n1/(loglogn)c where n is the number of nodes in the input graph and c > 0 is a universal constant

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Summary

Introduction

The result in this paper is on the hardness of approximating k-WAY HYPERGRAPH CUT when k is part of the input; we note that if k is a fixed constant there is a polynomial-time algorithm for k-WAY HYPERGRAPH CUT due to recent work [4, 3]. ON THE HARDNESS OF APPROXIMATING THE k-WAY HYPERGRAPH CUT PROBLEM

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