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The Stable Marriage Problem: Structure and Algorithms (Foundations of Computing)

The Stable Marriage Problem: Structure and Algorithms (Foundations of Computing)

Penned By Dan Gusfield
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84,869 Global Ratings
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The Stable Marriage Problem: Structure and Algorithms (Foundations of Computing)

The Stable Marriage Problem: Structure and Algorithms (Foundations of Computing)

Penned By Dan Gusfield
4.85 84,869 Ratings
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Editor's Note:
This book probes the stable marriage problem and its variants as a rich source of problems and ideas that illustrate both the design and analysis of efficient algorithms. It covers the most recent structural and algorithmic work on stable matching problems, simplifies and unifies many earlier proofs, strengthens several earlier results, and presents new results and more efficient algorithms. The authors develop the structure of the set of stable matchings in the stable marriage problem in a more general and algebraic context than has been done previously; they discuss the problem's structure in terms of rings of sets, which allows many of the most useful features to be seen as features of a more general set of problems. The relationship between the structure of the stable marriage problem and the more general stable roommates problem is demonstrated, revealing many commonalities. The results the authors obtain provide an algorithmic response to the practical, and political, problems created by the asymmetry inherent in the Gale Shapley solutions, leading to alternative methods and better compromises than are provided by the Gale Shapley method. And, in contrast to Donald Knuth's earlier work which primarily focused on the application of mathematics to the analysis of algorithms, this book illustrates the productive and almost inseparable relationship between mathematical insight and the design of efficient algorithms.The Stable Marriage Problem is included in the Foundations of Computing Series, edited by Michael Garey and Albert Meyer.

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Released August 22, 1989
Identifier (ISBN) 11229455
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Dan Gusfield
The Mind Behind the Work
Dan Gusfield

Dan Gusfield is the author of several novels. Originally from the East Coast, they now live in the Midwest with family. In addition to writing, Dan Gusfield enjoys gardening, cooking, and reading way past bedtime. Their work often explores the complexities of everyday life and human relationships.

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Rebecca King
Rebecca King October 02, 2025
"Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. An effortless 5 stars."
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Kimberly Rodriguez April 01, 2025
"Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. I will undoubtedly revisit this masterpiece."
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Jessica Robinson
Jessica Robinson November 19, 2025
"Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author."
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Emily Parker March 30, 2024
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Patricia  Parker
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"A profoundly satisfying read. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An absolute must-read for connoisseurs of the genre."
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"Masterpiece from start to finish. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. A true literary gem."
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"I thoroughly enjoyed the elegance of it. The protagonist was compelling, though some subplots felt slightly overshadowed. A wonderful companion for a quiet weekend."
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"Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre."
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"Took a moment to build, but the payoff was spectacular. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A wonderful companion for a quiet weekend."
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"Absolutely brilliant. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. Worth every moment spent reading."
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"A highly sophisticated read. The middle had a deliberate pace, but the climax was phenomenal. A wonderful companion for a quiet weekend."
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"I was completely blown away. The prose is exquisite. It’s accessible yet undeniably sophisticated. An effortless 5 stars."
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"A profoundly satisfying read. The author orchestrated a breathtaking finale. Truly a work of art. An effortless 5 stars."
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"Exceeded all my expectations. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I am now a lifelong fan of this author."
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"Excellent, though slightly flawed. The middle had a deliberate pace, but the climax was phenomenal. A very distinguished novel."
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"Such a rich narrative. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece."
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"Such a rich narrative. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece."
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"Honestly one of the most premium reading experiences lately. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem."
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"A profoundly satisfying read. The author orchestrated a breathtaking finale. Truly a work of art. I will undoubtedly revisit this masterpiece."
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Nancy Smith
Nancy Smith February 16, 2025
"A very strong entry. It held my rapt attention, even when certain twists were telegraphed. I would highly recommend this to discerning readers."
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"Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
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Nicholas Gomez March 13, 2024
"A highly sophisticated read. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel."
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