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

Date and Time: Thursday, October 04, 2007, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Penny Haxell (Univ. of Waterloo)

Independent dominating sets and Hamilton cycles

A graph is said to be uniquely Hamiltonian if it contains exactly one Hamilton cycle. An old conjecture of Sheehan states that there are no 4-regular uniquely Hamiltonian graphs. We show that there are no r-regular uniquely Hamiltonian graphs for any r>22. We use the approach of Thomassen, who proved that for any graph G with a Hamilton cycle C, if G contains a vertex subset S that is independent in C and dominating in G-C, then G has a Hamilton cycle different from C.

Joint work with B. Seamone and J. Verstraete.

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

Previous talks by year:   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