# Noon lecture

list of noon lectures ( 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | future lectures)

On 27.02.2014 at 12:20 in S6, there is the following noon lecture:

# A remark on the Alon Tarsi conjecture

## Martin Loebl

## Abstract

(joint work with Ron Aharoni) The sign of a latin square L of order n is the product of the 2n signs of all its rows and columns. L is called restricted if its first row and column is the identity permutation.

Alon-Tarsi conjecture: for each n even, the sum of the signs of the latin squares of order n is non-zero.

Wanless, Kotlar conjecture: for each n, the sum of the signs of the restricted latin squares of order n is non-zero.

We prove that these two conjectures are equivalent.

list of noon lectures ( 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | future lectures)

Webmaster: kamweb.mff.cuni.cz Modified: 19. 10. 2010