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Subgraphs and codes in distance-regular graphs in incidence geometry (3E012111)

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.

Date:1 Oct 2011  →  27 Nov 2013
Keywords:association schemes, finite geometries, distance-regular graphs
Disciplines:Algebra, History and foundations, Geometry