Project description DEENESFRITPL Boosting research in graph theory Graph theory deals with the study of graphs which are fundamental to modelling pairwise relations between objects. Graphs can be used to model many types of relations in physical, biological, social and information systems. Funded by the Marie Skłodowska-Curie Actions programme, the CoSP project will merge expertise in discrete mathematics with theoretical computer science to study a number of interesting topics in graph theory. These include the matching theory for graphs and hypergraphs, complex algorithms, colouring problems and graph homomorphisms. Show the project objective Hide the project objective Objective The project brings together combinatorialists of various fields with the aim that they will enrich each other’s techniques. The tool kits they will bring include topology, probability, statistical physics and algebra. These should apply to matching problems (a central topic in combinatorics), algorithmic problems, coloring problems (which are decompositions into independent sets or matchings) and homomorphisms (a generalization of colorings).One umbrella under which many of these can be gathered is the intersection of two matroids, a notion generalizing that of matchings in bipartite graphs. Researchers are baffled by a strange phenomenon – that moving from one matroid to the intersection of two matroids sometimes costs little. The algorithmic problems are indeed harder, but the difference between min and max in the min-max theorems suffer only a conjectured penalty of 1.This connects with a second direction of the research, fine grained complexity, which deals with polynomially solvable problems, and aims to prove, under widely believed assumptions, lower bounds on the exponents in the polynomial bounds. A major question in the field is proving similar tight bounds for approximation problems.A direction connecting matchings, colorings and homomorphisms was initiated recently in statistical physics. It investigates typical algorithmic complexity, of computational problems taken under some probability distribution. While the worst case complexity questions are difficult in general and not clearly practically relevant, when we restrict to a given probability distribution of instances and when we are interested in high probability results, progress has been made, that has contributed also algorithmic insights beyond the probabilistic setting. We propose to address several outstanding open questions from the field.Finally we will work on a deep connection, studied by some of the researchers in the project, between Ramsey theory, Model theory and graph homomorphisms. Fields of science natural sciencesmathematicspure mathematicsdiscrete mathematicsmathematical logicnatural sciencesmathematicspure mathematicstopologynatural sciencesmathematicspure mathematicsalgebranatural sciencesmathematicspure mathematicsdiscrete mathematicsgraph theorynatural sciencesmathematicspure mathematicsdiscrete mathematicscombinatorics Keywords matching in graphs and hypergraphs matroid SETH approximation algorithm edit distance randomized algorithm statistical physics graph coloring edge-coloring graph homomorphism Programme(s) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.3. - Stimulating innovation by means of cross-fertilisation of knowledge Topic(s) MSCA-RISE-2018 - Research and Innovation Staff Exchange Call for proposal H2020-MSCA-RISE-2018 See other projects for this call Funding Scheme MSCA-RISE - Marie Skłodowska-Curie Research and Innovation Staff Exchange (RISE) Coordinator UNIVERZITA KARLOVA Net EU contribution € 575 000,00 Address OVOCNY TRH 560/5 116 36 Praha 1 Czechia See on map Region Česko Praha Hlavní město Praha Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 694 600,00 Participants (2) Sort alphabetically Sort by Net EU contribution Expand all Collapse all TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY Israel Net EU contribution € 92 000,00 Address SENATE BUILDING TECHNION CITY 32000 Haifa See on map Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 92 000,00 CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS France Net EU contribution € 82 800,00 Address RUE MICHEL ANGE 3 75794 Paris See on map Region Ile-de-France Ile-de-France Paris Activity type Research Organisations Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 82 800,00 Partners (5) Sort alphabetically Sort by Net EU contribution Expand all Collapse all Partner Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement. Simon Fraser University Canada Net EU contribution € 0,00 Address UNIVERSITY DRIVE 8888 V5A 1S6 Burnaby See on map Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 9 200,00 Partner Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement. Los Alamos National Security LLC United States Net EU contribution € 0,00 Address MS 187 87545 Los Alamos Nm See on map Activity type Private for-profit entities (excluding Higher or Secondary Education Establishments) Links Contact the organisation Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost No data Partner Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement. TRUSTEES OF PRINCETON UNIVERSITY United States Net EU contribution € 0,00 Address NASSAU HALL 1 08544-2001 Princeton, Nj See on map Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 4 600,00 Partner Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement. RUTGERS, THE STATE UNIVERSITY OF NEW JERSEY United States Net EU contribution € 0,00 Address RUTGERS PLAZA 3 08901 New Brunswick See on map Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 105 800,00 Partner Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement. THE REGENTS OF THE UNIVERSITY OF CALIFORNIA United States Net EU contribution € 0,00 Address FRANKLIN STREET 1111 12 FLOOR 94607 OAKLAND CA See on map Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost No data
