Combinatorial Optimization -- Eureka, You Shrink!: Papers Dedicated to Jack Edmonds. 5th International Workshop, Aussois, France, March 5-9, 2001, ... 2570 (Lecture Notes in Computer Science) - Softcover

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AlegendsaysthatJackEdmondsshouted"Eureka-youshrink!"whenhefound a good characterization for matching (and the matching algorithm) in 1963, the daybeforehistalkatasummerworkshopatRANDCorporationwithcelebrities like George Dantzig, Ralph Gomory, and Alan Ho?man in the audience. During Aussois 2001, Jack con?rmed: "'Eureka - you shrink!' is really true, except that instead of 'Eureka' it maybe was some less digni?ed word." Aussois 2001 was the ?fth in an annual series of workshops on combinatorial optimization that are alternately organized by Thomas Liebling, Denis Naddef, andLaurenceWolsey-theinitiatorsofthisseries-inevenyearsandtheeditors of this book in odd years (except 1997). We decided to dedicate Aussois 2001 to Jack Edmonds in appreciation of his groundbreaking work that laid the foundations of much of what combinatorial optimizers have done in the last 35 years. Luckily, Jack is a regular participant of the Aussois workshops and, as ever, he cares a lot for young combinatorial optimizers who traditionally play a major rˆ ole in the Aussois series. Fig.1. Handout for the Aussois 2001 participants VI Preface Highlights of Aussois 2001 included a special session entitled "Eureka - you shrink!" in honor of Jack and a special lecture by Jack on "Submodular Fu- tions, Matroids, and Certain Polyhedra" that closed the workshop. In this book, we give an account of the "Eureka - you shrink!" session as well as reprints of three hardly accessible papers that Jack gave as a handout to the Aussois 2001 participants and that were originally published in theProceedings oftheCalgaryInternationalConferenceonCombinatorialStructuresandTheir Applications 1969, Gordon and Breach (1970) - newly typeset by the editors and reprinted by permission.

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This book is dedicated to Jack Edmonds in appreciation of his ground breaking work that laid the foundations for a broad variety of subsequent results achieved in combinatorial optimization.

The main part consists of 13 revised full papers on current topics in combinatorial optimization, presented at Aussois 2001, the Fifth Aussois Workshop on Combinatorial Optimization, March 5-9, 2001, and dedicated to Jack Edmonds.

Additional highlights in this book are an account of an Aussois 2001 special session dedicated to Jack Edmonds including a speech given by William R. Pulleyblank as well as newly typeset versions of three up-to-now hardly accessible classical papers:

- Submodular Functions, Matroids, and Certain Polyhedra
   by Jack Edmonds

- Matching: A Well-Solved Class of Integer Linear Programs
   by Jack Edmonds and Ellis L. Johnson

- Theoretical Improvements in Algorithmic Efficiency for Network Flow Problems
   by Jack Edmonds and Richard M. Karp.