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On the average length of lexicographic paths
Authors:M. L. Balinski  Th. M. Liebling  A. -E. Nobs
Affiliation:(1) Laboratoire d'Econométrie, Ecole Polytechnique, Paris, France;(2) Department of Applied Mathematics and Statistics, SUNY, Stony Brook, NY, USA;(3) Département de Mathématiques, Ecole Polytechnique Féderale de Lausanne, Switzerland
Abstract:A bound is given for the average length of a lsquolexicographic pathrsquo, a definition that is motivated by degeneracies encountered when using the randomized simplex method.
Keywords:Simplex method  complexity  lexicography  polynomial algorithm
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