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 natural sciencesmathematicspure mathematicsdiscrete mathematicsgraph theory Programme(s) FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Topic(s) ERC-SG-PE1 - ERC Starting Grant - Mathematical foundations Call for proposal ERC-2011-StG_20101014 See other projects for this call Funding Scheme ERC-SG - ERC Starting Grant Coordinator UNIVERSITA DEGLI STUDI DI ROMA LA SAPIENZA Address Piazzale aldo moro 5 00185 Roma Italy See on map Region Centro (IT) Lazio Roma Activity type Higher or Secondary Education Establishments Administrative Contact Paul Joseph Wollan (Prof.) Principal investigator Paul Joseph Wollan (Prof.) Links Contact the organisation Opens in new window Website Opens in new window EU contribution No data Beneficiaries (1) Sort alphabetically Sort by EU Contribution Expand all Collapse all UNIVERSITA DEGLI STUDI DI ROMA LA SAPIENZA Italy EU contribution € 850 000,00 Address Piazzale aldo moro 5 00185 Roma See on map Region Centro (IT) Lazio Roma Activity type Higher or Secondary Education Establishments Administrative Contact Paul Joseph Wollan (Prof.) Principal investigator Paul Joseph Wollan (Prof.) Links Contact the organisation Opens in new window Website Opens in new window Other funding No data
