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Content archived on 2024-06-18

Approximation of NP-hard optimization problems

Objective

The proposed project aims to create a center of excellence that aims at understanding the approximability of NP-hard optimization problems. In particular, for central problems like vertex cover, coloring of graphs, and various constraint satisfaction problems we want to study upper and lower bounds on how well they can be approximated in polynomial time. Many existing strong results are based on what is known as the Unique Games Conjecture (UGC) and a significant part of the project will be devoted to studying this conjecture. We expect that a major step needed to be taken in this process is to further develop the understanding of Boolean functions on the Boolean hypercube. We anticipate that the tools needed for this will come in the form of harmonic analysis which in its turn will rely on the corresponding results in the analysis of functions over the domain of real numbers.

Keywords

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Topic(s)

Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.

Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

ERC-2008-AdG
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Funding Scheme

Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.

ERC-AG - ERC Advanced Grant

Host institution

KUNGLIGA TEKNISKA HOEGSKOLAN
EU contribution
€ 2 376 000,00
Address
BRINELLVAGEN 8
100 44 Stockholm
Sweden

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Region
Östra Sverige Stockholm Stockholms län
Activity type
Higher or Secondary Education Establishments
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Total cost

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No data

Beneficiaries (1)

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