Objective
Structural graph theory has proved to be a powerful tool for coping
with computational intractability. It provides a wealth of
concepts and results that can be used to design efficient algorithms for
hard computational problems on specific classes of graphs that
occur naturally in applications.
In many applications in computer science, the natural mathematical
model are directed graphs. Unfortunately, research in
structural graph theory has so far almost exclusively focussed on
undirected graphs and no structure theory for directed graphs
comparable to the tree-width and graph minors based approach for
undirected graphs has been developed that would provide for a similar
set of tools and concepts to deal with computational problems on
directed graphs.
The objective of this proposal is to develop such a structure
theory aimed specifically at algorithmic applications on directed
graphs. The novelty of our approach is that
a) it is based on directed minors which allows us to avoid
the algorithmic problems faced by existing digraph width
measures and has not been studied before in this context and
b) it facilitates our recent proof of the excluded directed
grid theorem which is likely to allow entirely new algorithmic
techniques for directed graphs.
The focus of the project is on the development of the structural
foundations and algorithmic techniques for designing efficient algorithms
for a wide range of algorithmic digraph problems. In particular, we
will use an approach based on logical definability for developing such
algorithmic techniques.
Furthermore, we will apply our methods to two specific application
areas, model-checking in computer-aided verification and inference
problems in Bayesian networks.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- natural sciences mathematics pure mathematics discrete mathematics mathematical logic
- natural sciences computer and information sciences
- natural sciences mathematics pure mathematics discrete mathematics graph theory
- natural sciences mathematics applied mathematics mathematical model
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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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H2020-EU.1.1. - EXCELLENT SCIENCE - 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.
ERC-COG - Consolidator Grant
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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-2014-CoG
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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.
10623 Berlin
Germany
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.