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

Date and Time: Tuesday, June 19, 2012, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Rajko Nenadov

On Counting Lemma for sparse graphs (Master thesis)

Szemeredi's regularity lemma, together with the corresponding embedding and counting lemmas, is an important tool in modern graph theory. However, because of the underlying definition of regularity it is only helpful when one is dealing with dense graphs, that is, graphs of density cn^2 for some constant c. In 1997, Kohayakawa and Rödl introduced a modification of regularity that makes it applicable to the certain class of graphs with density o(n^2), and Kohayakawa, Luczak and Rödl conjectured a corresponding embedding lemma. The embedding conjecture has been proven only recently, and using some stronger assumptions the counting version was derived. We show that the counting lemma for some special cases, namely K₄, K₅ and K₆, can be proven using the same setup as the embedding conjecture without any additional assumptions.

Thesis supervised by Angelika Steger.

Upcoming talks     |     All previous talks     |     Talks by speaker     |     Upcoming talks in iCal format (beta version!)

Previous talks by year:   2025  2024  2023  2022  2021  2020  2019  2018  2017  2016  2015  2014  2013  2012  2011  2010  2009  2008  2007  2006  2005  2004  2003  2002  2001  2000  1999  1998  1997  1996  

Information for students and suggested topics for student talks

Automatic MiSe System Software Version 1.4803M   |   admin login