Almost all triangle-free triple systems are tripartite

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Almost all triangle-free triple systems are tripartite

A triangle in a triple system is a collection of three edges isomorphic to {123, 124, 345}. A triple system is triangle-free if it contains no three edges forming a triangle. It is tripartite if it has a vertex partition into three parts such that every edge has exactly one point in each part. It is easy to see that every tripartite triple system is triangle-free. We prove that almost all trian...

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ژورنال

عنوان ژورنال: Combinatorica

سال: 2012

ISSN: 0209-9683,1439-6912

DOI: 10.1007/s00493-012-2657-4