## Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

# Mittagsseminar (in cooperation with M. Ghaffari, A. Steger and B. Sudakov)

 Mittagsseminar Talk Information

Date and Time: Thursday, April 23, 2009, 12:15 pm

Duration: This information is not available in the database

Location: CAB G51

Speaker: Benny Sudakov (UCLA)

## Triangle packings and 1-factors in oriented graphs

An oriented graph is a directed graph which can be obtained from a simple undirected graph by orienting its edges. In this talk we show that any oriented graph $G$ on $n$ vertices with minimum indegree and outdegree at least $(1/2-o(1))n$ contains a packing of cyclic triangles covering all but at most 3 vertices. This is best possible and almost answers an open question of Cuckler and Yuster. Under the same hypotheses, we also show that one can embed any prescribed almost 1-factor in $G$.

Joint work with P. Keevash.

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