Title of article :
Theorems of Erdős–Ko–Rado type in polar spaces
Author/Authors :
Pepe، نويسنده , , Valentina and Storme، نويسنده , , Leo and Vanhove، نويسنده , , Frédéric، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Abstract :
We consider Erdős–Ko–Rado sets of generators in classical finite polar spaces. These are sets of generators that all intersect non-trivially. We characterize the Erdős–Ko–Rado sets of generators of maximum size in all polar spaces, except for H ( 4 n + 1 , q 2 ) with n ⩾ 2 .
Keywords :
Erd?s–Ko–Rado theorem , Polar space , Association scheme , Distance-regular graph
Journal title :
Journal of Combinatorial Theory Series A
Journal title :
Journal of Combinatorial Theory Series A