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Content archived on 2024-06-18

Developing and Applying Structural Techniques for Combinatorial Objects

Objective

The proposed project will tackle a series of fundamental problems in discrete mathematics by studying labeled graphs, a generalization of graphs which readily apply to problems beyond graph theory. To achieve these goals will require both developing new graph theoretic tools and techniques as well as further expounding upon known methodologies.

The specific problems to be studied can be grouped into a series of semi-independent projects. The first focuses on signed graphs with applications to a conjecture of Seymour concerning 1-flowing binary matroids and a related conjecture on the intregality of polyhedra defined by a class of binary matrices. The second proposes to develop a theory of minors for directed graphs. Finally, the project looks at topological questions arising from graphs embedding in a surface and the classic problem of efficiently identifying the trivial knot. The range of topics considered will lead to the development of tools and techniques applicable to questions in discrete mathematics beyond those under direct study.

The project will create a research group incorporating graduate students and post doctoral researchers lead by the PI. Each area to be studied offers the potential for ground-breaking results at the same time offering numerous intermediate opportunities for scientific progress.

Fields of science (EuroSciVoc)

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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-2011-StG_20101014
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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-SG - ERC Starting Grant

Host institution

UNIVERSITA DEGLI STUDI DI ROMA LA SAPIENZA
EU contribution
€ 850 000,00
Address
Piazzale Aldo Moro 5
00185 Roma
Italy

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Region
Centro (IT) Lazio Roma
Activity type
Higher or Secondary Education Establishments
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Total cost

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.

No data

Beneficiaries (1)

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