Centre for Discrete and Applicable Mathematics

CDAM Research Report, LSE-CDAM-2003-08

May 2003

Wheel Facets of the OLS Polytope

G. Appa, D. Magos, I. Mourtos

Abstract

Wheel structures of the Orthogonal Latin Squares (OLS) polytope (P_I ) are presented in [2]. The current work focuses on the families of valid inequalities arising from wheels and proves that certain among them are facet-defining for P_I . For two of these families we provide efficient separation procedures. We also present results regarding odd-hole inequalities, which essentially form a larger class encompassing that of wheel inequalities.

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		CDAM Research Reports Series Centre for Discrete and Applicable Mathematics London School of Economics Houghton Street London WC2A 2AE, U.K.
		Phone: +44(0)-20-7955 7732. Fax: +44(0)-20-7955 6877. Email: info@maths.lse.ac.uk