Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Tuesday, May 11, 2004, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Stefanie Gerke

Sparse epsilon-regular pairs

Szemeredi's regularity lemma is one of the most powerful tools in modern graph theory. Its main application is to find substructures in dense graphs, that is, in graphs with dn² edges for a constant d. For graphs with o(n²) edges, Kohayakawa and Rödl adapted the definition of regularity to prove a regularity lemma for some classes of graphs, in particular random graphs. To apply this regularity lemma to find substructures some work remains to be done.

In this talk properties of sparse regularity are investigated which can be used to find small complete graphs in subgraphs of sparse random graphs.

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