University of Cambridge > Talks.cam > Department of Computer Science and Technology talks and seminars > The Complexity of finite-valued CSPs

The Complexity of finite-valued CSPs

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Dr Thomas Sauerwald.

Let L be a set of rational-valued functions on a fixed finite domain; such a set is called a finite-valued constraint language. We are interested in the problem of minimising a function given explicitly as a sum of functions from L. We establish a dichotomy theorem with respect to exact solvability for all finite-valued languages defined on domains of arbitrary finite size. We present a simple algebraic condition that characterises the tractable cases. Moreover, we show that a single algorithm based on linear programming solves all tractable cases. Furthermore, we show that there is a single reason for intractability; namely, a very specific reduction from Max-Cut.

This talk is part of the Department of Computer Science and Technology talks and seminars series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity