### Decomposing the Complete r-Graph

Combinatorics Seminar

28th February 2020, 11:00 am – 12:00 pm

Fry Building, LG.22

(NB: This is a special seminar taking place on a Friday, rather than the usual Tuesday.)

The Graham-Pollak theorem states that to decompose the complete graph K_n

into complete bipartite subgraphs we need at least n−1 of them. What

happens for hypergraphs? In other words, suppose that we wish to decompose

the complete r-graph on n vertices into complete r-partite r-graphs; how

many do we need?

In this talk we will report on recent progress on this problem.

This is joint work with Luka Milicevic and Ta Sheng Tan.

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