Algebraic Graph Theory Seminar - Martin Mačaj (8.12.2017)

Friday 8.12.2017 at 13:30, Lecture room M/XI

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Martin Mačaj:
On Siamese color graphs: properties of Siamese association scheme

 
Abstract:
In 2003 H. Kharaghani and R. Torabi observed that for any $q$ there may exist a family of $q^2+1$ generalized quadrangles GQ of order $q$ with a common spread such that each pair of vertices either lies on a line from the spread or it lies on a line in exactly one GQ. They used this observation to define Siamese color graph. Later M. Klin, S. Reichard and A. Woldar defined also Siamese association scheme.

In this talk we show how parameters of strongly- and distance regular-graphs pseudo-geometric to generalized quadrangles can be used do determine some properties of Siamese association schemes.

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