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Baranyai's theorem is a result in combinatorial design theory, specifically within the area of finite set systems. It is named after its discoverer, Zsolt Baranyai. The theorem deals with the partitioning of a complete graph into smaller structures, namely, it provides conditions under which it is possible to partition the complete graph on a certain number of vertices into disjoint complete subgraphs of smaller sizes.

Ancestors (5)

  1. Theorems in combinatorics
  2. Combinatorics
  3. Fields of mathematics
  4. Mathematics
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