Subgraphs and codes in distance-regular graphs in incidence geometry

01 October 2011 → 27 November 2013
Regional and community funding: Special Research Fund, Research Foundation - Flanders (FWO)
Research disciplines
  • Natural sciences
    • Algebra
    • Geometry
    • History and foundations
association schemes finite geometries distance-regular graphs
Project description

My project includes the application of techniques in algebraic graph theory, to obtain new bounds and non-existence results in geometry. Conversely, finite geometries can yield new (distance-regular) graphs with certain properties, and algebraic techniques can yield a characterization of them. In particular, I intend to further examine a proposed construction relying on substructures in a specific dual polar graph.