Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Thursday, August 28, 2014, 12:15 pm

Duration: 30 minutes

Location: LFW C4

Speaker: Benjamin Doerr (Ecole Polytechnique de Paris)

Randomized Rumor Spreading: Easier and More Precise

We return to the super-classic problem of spreading a rumor randomly in a complete graph via the push-process. That is, we start with one node being informed, and then in each round of the process, each informed node calls a random other node and informs it (given that is was not already). Increasingly technical results by Frieze and Grimmet (1985) and Pittel (1987) prove that log₂(n) + ln(n) + o(log n) respectively log₂(n) + ln(n) + h(n) rounds suffice with probability 1-o(1), where h can be any function tending to infinity. In this work, we give a substantially simpler proof of a more precise result. It in particular implies that an expected number of log₂(n) + ln(n) + O(1) rounds suffices.

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

Previous talks by year:   2025  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