The second largest Erdős-Ko-Rado sets of generators of the hyperbolic quadrics $\mathcal{Q}^{+}(4n+1,q)$

preprint2016arXivOpen access

An Erdős-Ko-Rado set of generators of a hyperbolic quadric is a set of generators which are pairwise not disjoint. In this article we classify the second largest maximal Erdős-Ko-Rado set of generators of the hyperbolic quadrics $\mathcal{Q}^{+}(4n+1,q)$ , $q\geq3$ .

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The second largest Erdős-Ko-Rado sets of generators of the hyperbolic quadrics $\mathcal{Q}^{+}(4n+1,q)$

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The second largest Erdős-Ko-Rado sets of generators of the hyperbolic quadrics Q+(4n+1,q)\mathcal{Q}^{+}(4n+1,q)Q+(4n+1,q)

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The second largest Erdős-Ko-Rado sets of generators of the hyperbolic quadrics $\mathcal{Q}^{+}(4n+1,q)$