Theorems of Erdos-Ko-Rado type in polar spaces
نویسندگان
چکیده
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(4n+ 1, q) with n ≥ 2.
منابع مشابه
Cross-Intersecting Erdős-Ko-Rado Sets in Finite Classical Polar Spaces
A cross-intersecting Erdős-Ko-Rado set of generators of a finite classical polar space is a pair (Y,Z) of sets of generators such that all y ∈ Y and z ∈ Z intersect in at least a point. We provide upper bounds on |Y | · |Z| and classify the crossintersecting Erdős-Ko-Rado sets of maximum size with respect to |Y | · |Z| for all polar spaces except some Hermitian polar spaces.
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 118 شماره
صفحات -
تاریخ انتشار 2011