Objective
Algorithms play crucial roles in many aspects of the lives of billions of people worldwide. Many of the problems we wish to solve, in industry and
academia, are NP-hard and it is expected that no polynomial-time algorithm exists to obtain an optimal solution for them. Nevertheless, they are
solved millions of times on a daily basis. Solving them would be unfeasible without the use of preprocessing techniques, which significantly reduce
running times and are often necessary to solve a problem. Explaining why these methods work in practice and designing new ones that come with
performance guarantees is a great challenge in Theoretical Computer Science. In the framework of Parameterized Complexity, they are modeled
through kernelization, which uses an additional measurement of the problem's structure (the parameter) to output a small equivalent instance that
can be quickly solved.
However, there will usually exist several optimal solutions, regardless of the optimality criterion, and drawing conclusions from a single one may be
misleading. Knowing more about the set of optimal solutions is thus necessary in many scenarios and can be formalized through enumeration
problems. Unlike decision problems, very little is known about preprocessing for enumeration problems. In the recently defined enumeration kernel,
solutions to the reduced instance are used to partition and efficiently list the solution set of the input. Through this project, the researcher will
design and implement novel parameterized algorithms and kernels for enumeration problems, and build the lower-bound theory required to
separate problems between those that admit polynomial enumeration kernels and those that do not. The designed kernels will be some of the
earliest enumeration kernels, while the lower-bound theory will be a fundamental part of Parameterized Complexity, allowing researcher's to
identify problems that do not admit efficient preprocessing and focus their efforts on problems that do.
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
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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.
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.
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.
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.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
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Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) HORIZON-MSCA-2022-PF-01
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
75794 Paris
France
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.