Intersecting Families of Separated Sets
نویسنده
چکیده
A set A ⊆ {1, 2, . . . , n} is said to be k-separated if, when considered on the circle, any two elements of A are separated by a gap of size at least k. We prove a conjecture due to Holroyd and Johnson [3],[4] that an analogue of the Erdős-Ko-Rado theorem holds for k-separated sets. In particular the result holds for the vertex-critical subgraph of the Kneser graph identified by Schrijver [7], the collection of separated sets. We also give a version of the Erdős-Ko-Rado theorem for weighted k-separated sets.
منابع مشابه
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