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

__Mittagsseminar Talk Information__ | |

**Date and Time**: Thursday, June 12, 2008, 12:15 pm

**Duration**: This information is not available in the database

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

**Speaker**: Dirk Nowotka (Univ. Stuttgart)

## When the Maximum Intersection Problem Is Easy: On the Use of Threshold Phenomena in Randomized Graph Models

Given a computational problem over an input set equipped with
a probability distribution. Which are suitable properties of
such a distribution for the construction of fast algorithms?
In particular, we consider data mining problems where the input
is modelled by random graphs. We want to discuss this problem
field in the seminar starting from an example where we use that
approach by showing that the maximum intersection problem can
be efficiently solved when the input follows the so called Zipf's
law. The maximum intersection problem consists of the task to
find for a given set q a set q' from a given collection D
of sets such that q and q' have an intersection of maximum
size among all sets in D (all sets and D are finite).

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