Objective
Polyhedral techniques allow the powerhouse of linear programming to be used for the discrete problems in combinatorial optimization. Their impact on commercial solvers, the theory of classical algorithms, as well as approximation algorithms, is well established. Nevertheless, these techniques play only a marginal role in mainstream research on parameterized algorithms. Recent advances, many of which are due to the PI, are showing potential for a revolutionary synergy between parameterized algorithms and polyhedral techniques. This project aims to unlock the full power of this synergy and use it to address several pressing open questions in combinatorial optimization. The work plan consists of three complementary directions:
I. Exploring new frontiers for polyhedral techniques in parameterized algorithms, in particular, the novel usage of proximity bounds to obtain FPT algorithms. We will specifically investigate the open question of whether bin packing in the number of item sizes is in FPT.
II. Closing notorious loose ends in existing research lines, in particular, the lack of polyhedral understanding of algebraic methods in matroid problems.
III. Embracing parameterization to strengthen polyhedral techniques in approximation algorithms. Specifically, we will investigate an innovative technique crucial for understanding the approximability of scheduling on unrelated parallel machines, max-min fair allocation, and directed Steiner tree.
The topics of the project are relevant for a broad spectrum of researchers from both parameterized algorithms and approximation algorithms and have the potential to bring these fields much closer together.
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.1.1 - European Research Council (ERC)
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-ERC - HORIZON ERC Grants
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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) ERC-2025-STG
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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.
5230 Odense M
Denmark
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.