Violators and Graph Encodings
Host
Department of Applied Mathematics
Speaker
Sonja Petrovic, Assistant Professor
Department of Applied Mathematics, Illinois Institute of Technology
http://math.iit.edu/~spetrov1/
Description
The theory of violator spaces can be used to reduce a large, overdetermined system of polynomial equations to a smaller, more manageable subsystem whose solution set is the same as the original system. We will explore potential applications of this technique for polynomial encodings of graph properties.
Reference:
http://arxiv.org/abs/1503.08804 (Random Sampling in Computational Algebra: Helly Numbers and Violator Spaces, De Loera, Petrović, Stasi)
Event Topic
Nonlinear Algebra and Statistics (NLASTATS)