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A 2-cover is a multiset of subsets of [n]≔{1,2,…,n} such that each element of [n] lies in exactly two of the subsets. A 2-cover is called proper if all of the subsets are distinct, and is called restricted if any two of them intersect in at most one element.In this paper we find asymptotic enumerations for the number of line graphs on n labelled vertices and for 2-covers.We find that the number sn...
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