Objective
Pathfinding in graphs is one of the most fundamental problems in graph theory. Dijkstra’s algorithm for finding shortest paths between nodes has been a part of standard computer science curriculum for decades. However, in several applications in logistics and operations research, the desired path should satisfy some additional constraints, and thus cannot be found by a straightforward application of Dijkstra’s algorithm. For example, on some crossroads turning right is not permitted, i.e. certain edges of the graph cannot appear as consecutive edges on the path. Another example occurs in pickup and delivery route planning, where each pick-up location needs to be visited before
the corresponding destination. In other words, the ordering of the vertices on the path needs to respect a given partial order. The above scenarios might seem very different, but they share one key property that makes pathfinding difficult. Namely, Dijkstra’s algorithm relies on triangle inequality, which does not hold in the above cases. The aim of this project is to design novel algorithms that overcome this obstacle and to conduct a systematic study on different variants of the pathfinding problem with traversal constraints. To achieve this, we will employ parameterized complexity tools, which enable us to study the complexity of problems with respect to multiple parameters describing the input and output data.
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: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences computer and information sciences
- natural sciences mathematics pure mathematics discrete mathematics graph theory
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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.4.1 - Widening participation and spreading excellence
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-WIDERA-2025-TALENTS-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.
160 00 PRAHA
Czechia
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.