The largest ErdH{o}s-Ko-Rado sets in 2-(v,k,1) designs
classification
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s-ko-radosetsdesignssteinersystemsarticleblockblocks
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An Erd\H{o}s-Ko-Rado set in a block design is a set of pairwise intersecting blocks. In this article we study Erd\H{o}s-Ko-Rado sets in 2-(v,k,1) designs, Steiner systems. The Steiner triple systems and other special classes are treated separately. For unitals we also determine an upper bound on the size of the second-largest maximal Erdos-Ko-Rado sets.
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