Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

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

Mittagsseminar Talk Information

Date and Time: Tuesday, June 05, 2018, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Charlotte Knierim

Resilience of triangle factors in random graphs

In 1963 Corrádi and Hanjal showed that every graph G with minimum degree δ(G)≥ (2/3)n has a triangle factor. Balogh, Lee and Samotij transferred this result to the setting of the random graph G(n,p) and showed that, provided p>> (log n/n)^{1/2}, for a subgraph G ⊆ Γ~ G(n,p) a minimum degree of δ(G)≥(2/3+o(1))np suffices to cover all but O(p^{-2}) vertices in G with disjoint triangles.

We use an idea of Fischer, Škorić, Steger and Trujić and replace the degree condition in the previous result by a lower bound on the number of triangles each vertex is in. We show that in this case for every α > 0 we find a triangle factor provided ((log n)/p)^{1/2} < < p < < n^{-\alpha}.

This masterthesis was supervised by Angelika Steger and Miloš Trujić.

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

Previous talks by year:   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