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

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Thursday, May 16, 2019, 12:15 pm

**Duration**: 30 minutes

**Location**: CAB G51

**Speaker**: Erik Jahn

A theorem by Brandt, Chen, Gould, Faudree and Lesniak states that if a graph G on n > 4k vertices has minimum degree at least n/2 then G contains a 2-factor consisting of exactly k cycles. This is quickly seen to be tight in terms of the bound on the minimum degree. However, if one assumes in addition that G is Hamiltonian it has been conjectured that the bound on the minimum degree may be relaxed. This was indeed shown to be true by Sarközy and after a series of improvements the best known result, due to DeBiasio, Ferrara and Morris, established that a minimum degree of (2/5 + o(1))n suffices. We present a major improvement of this result showing that the required minimum degree for large Hamiltonian graphs to have a 2-factor consisting of a fixed number of cycles is sublinear in n. This is joint work with M. Bucic, A. Pokrovskiy and B. Sudakov.

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

Previous talks by year: 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