Objective
Our aim in this project is to built on recent combinatorial and algorithmic progress to attack a series of problems that have independently surfaced in the graph enumeration setting, as well as to develop a more systematic approach that works on a wide class of random graph families.
The central objects under study are planar graphs and planar embedded graphs (also called maps). The enumeration theory of these objects was initiated by Tutte in the 1960s when studying rooted planar maps; later, in the 1970s, there has been more emphasis on asymptotics and the interplay between graph enumeration and the theory of random graphs. The field has grown enormously since then and many classes of maps have been studied, including maps in arbitrary surfaces. Moreover, deep connections with algebra, low-dimensional topology, probability and statistical physics have been uncovered.
Recently the interest in planar maps and graphs has considerably increased, due to fundamental constructions by Schaeffer (bijections for planar maps in terms of enriched tree structures), and Giménez and Noy (generating function techniques joint with analytic tools). Our objective is to continue the lines of these achievements and explore their interactions with other domains, specially with computer science.
More precisely, the main goals of this project are to develop new tools to deal with open questions in the field, including the study of bipartite families of graphs, unlabelled families of graphs, and planar graphs with restricted vertex degrees, among other questions. In most of the cases, the interaction between the map enumeration domain and the algorithmic setting will be strongly explored.
The main techniques exploited in this project arise from the Analytic Combinatorics setting: that is, the combinatorial structure is translated into equations of generating functions, that can be studied by means of complex analytic methods, joint with probabilistic techniques.
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 algebra
- natural sciences computer and information sciences
- natural sciences mathematics pure mathematics topology algebraic topology
- natural sciences mathematics pure mathematics discrete mathematics graph theory
- natural sciences mathematics pure mathematics discrete mathematics combinatorics
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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.
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.
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.
FP7-PEOPLE-2013-CIG
See other projects for this call
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.
MC-CIG - Support for training and career development of researcher (CIG)
Coordinator
14195 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.