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The Friendship Theorem

Karol Pąk (2012)

Formalized Mathematics

In this article we prove the friendship theorem according to the article [1], which states that if a group of people has the property that any pair of persons have exactly one common friend, then there is a universal friend, i.e. a person who is a friend of every other person in the group

The strongly perfect lattices of dimension 10

Gabriele Nebe, Boris Venkov (2000)

Journal de théorie des nombres de Bordeaux

This paper classifies the strongly perfect lattices in dimension 10 . There are up to similarity two such lattices, K 10 ' and its dual lattice.

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