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

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Tuesday, September 25, 2018, 12:15 pm

**Duration**: 30 minutes

**Location**: OAT S15/S16/S17

**Speaker**: Manuela Fischer

We propose a simple Markov chain with local update rules that leads to efficient parallel and distributed sampling algorithms. In particular, our method can sample a uniform proper coloring of an n-node graph with alpha Delta colors in O(log n) rounds, where alpha > 2 is an arbitrary constant and Delta denotes the maximum degree of the graph. This thus almost fully parallelizes the (single-site) Glauber dynamics that mixes in O(n log n) steps if the number of colors is 2 Delta + 1. Moreover, it improves over the LubyGlauber algorithm by Feng, Sun, and Yin [PODC'17], which needs O(Delta log n) rounds, and their LocalMetropolis algorithm, which converges in O(log n) rounds but requires alpha > 2 + sqrt(2). We present a simple proof based on the Path Coupling Lemma by Bubley and Dyer [FOCS'97].

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