Titlebook: Integer Programming and Combinatorial Optimization; 10th International I Daniel Bienstock,George Nemhauser Conference proceedings 2004 Spri

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978-3-540-22113-5Springer-Verlag Berlin Heidelberg 2004

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Integer Programming and Combinatorial Optimization978-3-540-25960-2Series ISSN 0302-9743 Series E-ISSN 1611-3349

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0302-9743 Overview: Includes supplementary material: 978-3-540-22113-5978-3-540-25960-2Series ISSN 0302-9743 Series E-ISSN 1611-3349

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Polynomial Time Algorithm for Determining Optimal Strategies in Cyclic GamesThe problem of finding the value and optimal strategies of players in cyclic games is studied. A polynomial time algorithm for solving cyclic games is proposed.

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Three Min-Max Theorems Concerning Cyclic Orders of Strong DigraphsIn 1963, Tibor Gallai?[9] asked whether every strongly connected directed graph . is spanned by . directed circuits, where . is the stability of .. We give a proof of this conjecture using a new structure for digraphs called .. Three min-max theorems for cyclic orders are derived.

Interlocking

Three Kinds of Integer Programming Algorithms Based on Barvinok’s Rational FunctionsThis paper presents three kinds of algebraic-analytic algorithms for solving integer and mixed integer programming problems. We report both theoretical and experimental results. We use the generating function techniques introduced by A. Barvinok.

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Daniel Bienstock,George NemhauserIncludes supplementary material: