## 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, October 13, 2011, 12:15 pm

Duration: 30 minutes

Location: CAB G51

Speaker: Frank Mousset

## Rainbow Paths in Proper Edge Colorings of Complete Graphs

In a properly edge coloured graph, a subgraph using every colour at most once is called rainbow'. This talk is specifically about rainbow paths in complete graphs, which were the primary subject of my bachelor thesis entitled Rainbow Cycles and Paths'. I will talk about some problems related to such paths, and, time permitting, outline a proof that in every proper edge colouring of K_n, there are rainbow paths on (3/4-o(1))n vertices.

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