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20th Annual IEEE Conference on Computational Complexity (CCC'05)
On the Hardness of Approximating Multicut and Sparsest-Cut
San Jose, CA
June 11-June 15
ISBN: 0-7695-2364-1
Shuchi Chawla, Carnegie Mellon University
Robert Krauthgamer, IBM Almaden Research Center
Ravi Kumar, IBM Almaden Research Center
Yuval Rabani, Technion-Israel Institute of Technology, Cornell University, IBM Almaden Research Center and University of California at Los Angeles
D. Sivakumar, IBM Almaden Research Center
We show that the MULTICUT, SPARSEST-CUT, and MIN-2CNF ≣ DELETION problems are NP-hard to approximate within every constant factor, assuming the Unique Games Conjecture of Khot [STOC, 2002]. A quantitatively stronger version of the conjecture implies inapproximability factor of Ω(log log n).
Citation:
Shuchi Chawla, Robert Krauthgamer, Ravi Kumar, Yuval Rabani, D. Sivakumar, "On the Hardness of Approximating Multicut and Sparsest-Cut," ccc, pp.144-153, 20th Annual IEEE Conference on Computational Complexity (CCC'05), 2005
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