Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Thursday, May 07, 2015, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Pedro Vieira

Economically finding structures in random graphs

We discuss a new setting of algorithmic problems in random graphs, studying the minimum number of queries one needs to ask about the adjacency between pairs of vertices of G(n,p) in order to typically find a subgraph possessing a certain structure. More specifically, given a monotone property of graphs P, we consider G(n,p) where p is above the threshold probability for P and look for adapative algorithms which query significantly less than the \binom{n}{2} pairs of vertices in order to reveal that the property P holds with high probability. In this talk we focus particularly on the properties of containing a Hamilton cycle and containing paths of linear size.

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