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

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

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

Mittagsseminar Talk Information

Date and Time: Thursday, September 15, 2005, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Elias Vicari

Communication Complexity in the Algebraic Model

In this talk I will survey some results and future goals of the project I am currently working on. The problem is the following: two players are given two private vectors as input and their aim is to compute the value of a multivariate rational function f: kn x km -> k (k a field) depending on them, exchanging some messages. The issue is to develop techniques to prove lower bounds on the number of messages required according to how the function f "looks like".

The question is not really new, since the boolean counterpart with a bits-model is already well developed thanks to its high applicability in VLSI design. Distributed Algorithmic Mechanism Design problems are our motivation to change point of view and switching to an algebraic setting, where players can perform the four basic algebraic operations {+, -, x, /} over k.

I will present results on the one-way case, where only a player is allowed to send messages, two-way case and some generalizations, namely introducing the ability to perform equality tests and extending the problem to more players communicating over a given graph.


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