Counting Unique-Sink Orientations
Combinatorics
2014-06-26 v3 Discrete Mathematics
Abstract
Unique-sink orientations (USOs) are an abstract class of orientations of the n-cube graph. We consider some classes of USOs that are of interest in connection with the linear complementarity problem. We summarise old and show new lower and upper bounds on the sizes of some such classes. Furthermore, we provide a characterisation of K-matrices in terms of their corresponding USOs.
Cite
@article{arxiv.1012.1573,
title = {Counting Unique-Sink Orientations},
author = {Jan Foniok and Bernd Gärtner and Lorenz Klaus and Markus Sprecher},
journal= {arXiv preprint arXiv:1012.1573},
year = {2014}
}
Comments
13 pages; v2: proof of main theorem expanded, plus various other corrections. Now 16 pages; v3: minor corrections