Counting unique-sink orientations

Counting unique-sink orientations

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 summarize old and show new lower and upper bounds on the sizes of some such classes. Furthermore,...

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Veröffentlicht in:Discrete Applied Mathematics 2014-01, Vol.163, p.155-164
Hauptverfasser: Foniok, Jan, Gärtner, Bernd, Klaus, Lorenz, Sprecher, Markus
Format: Artikel
Sprache:eng
Schlagworte:
Counting
Graphs
Joints
K-matrix
Linear complementarity problem
Mathematical analysis
Orientation
P-matrix
Pivoting
Unique-sink orientation
Upper bounds
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Beschreibung
Zusammenfassung: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 summarize old and show new lower and upper bounds on the sizes of some such classes. Furthermore, we provide a characterization of K-matrices in terms of their corresponding USOs.
ISSN:0166-218X
1872-6771
DOI:10.1016/j.dam.2013.07.017