The Parsimonious Property of Cut Covering Problems and Its Applications (Classic Reprint): January, 1994: January, 1994 (Classic Reprint) - Softcover
Synopsis
Unlock a unifying view of how certain optimization problems stay simple at their core. This book reveals the parsimonious property and shows how it explains the behavior of LP relaxations across classic problems.
From survivable network design to the T-join, matching, and beyond, the text develops a framework that links structural conditions to strong, sometimes surprising, results. It presents proofs, monotonicity insights, and a new proof technique that leads to approachable approximation methods.
- Understand how the parsimonious property reduces complexity in the LP relaxation.
- See why certain problems stay integral or become easier to approximate.
- Explore conditions under which the property holds and where it fails.
- Learn a practical proof approach that informs algorithm design.
Ideal for readers curious about discrete optimization, combinatorial problems, and the theoretical underpinnings of efficient algorithms.
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The Parsimonious Property of Cut Covering Problems and Its Applications
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book provides an in-depth analysis of the "parsimonious" property of cut covering problems, a class of combinatorial challenges that encompass well-known issues like the Steiner tree and traveling salesman conundrums. The author initially presents a set of conditions that, when met by a set function, will guarantee the parsimonious property. This property implies that degree constraints in the linear programming relaxation of cut covering problems can be omitted without affecting the optimal solution, an observation that has spurred significant advancements in the field. The author continues by examining various implications of this property, including monotonicity properties of the linear programming relaxation and the integrality of polyhedra associated with these problems. In doing so, this book unifies and expands upon several previously independent results, revealing the underlying connections between them. Additionally, the author proposes new methods for analyzing the worst-case performance of approximation algorithms for cut covering problems and introduces a novel approximation algorithm that is simpler to implement than existing methods. This book provides a comprehensive understanding of the parsimonious property and its significance in addressing cut covering problems, offering valuable insights for researchers and practitioners working in combinatorial optimization and related areas. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332274277_0
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The Parsimonious Property of Cut Covering Problems and Its Applications January, 1994 Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332274277
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The Parsimonious Property of Cut Covering Problems and Its Applications January, 1994 Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332274277
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The Parsimonious Property of Cut Covering Problems and Its Applications : January, 1994 (Classic Reprint)
Seller: Buchpark, Trebbin, Germany
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Condition: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar. Seller Inventory # 26095245/2