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Counting unique-sink orientations

Foniok, J and Gaertner, B and Klaus, L and Sprecher, M (2013) Counting unique-sink orientations. Discrete Applied Mathematics, 163. ISSN 0166-218X

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Abstract

Unique-sink orientations (USOs) are an abstract class of orientations of the nn-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.

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