Regular Two-Graphs and Equiangular Lines

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Regular Two-Graphs and Equiangular Lines

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Title: Regular Two-Graphs and Equiangular Lines
Author: Gosselin, Shonda
Abstract: Regular two-graphs are antipodal distance-regular double coverings of the complete graph, and they have many interesting combinatorial properties. We derive a construction for regular two-graphs containing cliques of specified order from their connection to large sets of equiangular lines in Euclidean space. It is shown that the existence of a regular two-graph with least eigenvalue ¿ containing a clique of order d depends on the existence of an incidence structure on d points with special properties. Quasi-symmetric designs provide examples of these incidence structures.
URI: http://hdl.handle.net/10680/291
Date: 2004

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