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A new class of facets for the Latin square polytope
Authors:G. Appa  I. Mourtos
Affiliation:a Operational Research Department, London School of Economics and Political Science, Houghton Street, London WC2A2AE, UK
b Department of Informatics, Technological Educational Institute (T.E.I.) of Athens, Ag. Spyridonos Str., 12210 Egaleo, Athens, Greece
c Department of Economics, University of Patras, Rio 26500, Patras, Greece
Abstract:
Latin squares of order n have a 1-1 correspondence with the feasible solutions of the 3-index planar assignment problem (3PAPn). In this paper, we present a new class of facets for the associated polytope, induced by odd-hole inequalities.
Keywords:Polyhedral combinatorics   Latin squares   Planar assignment   Odd-hole inequalities
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