Seminár z algebratickej teórie grafov - Martin Mačaj (8.12.2017)

v piatok 8.12.2017 o 13:30 hod. v miestnosti M/XI

06. 12. 2017 10.34 hod.
Od: Martin Mačaj

Prednášajúca: Martin Mačaj

Názov: On Siamese color graphs: properties of Siamese association scheme

Termín: 8.12.2017, 13:30 hod., M/XI (akvárium)

Abstrakt:
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.