Research Trends in Combinatorial Optimization: Bonn 2008 / Edition 1

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This book, written by leading experts in combinatorial optimization, features in-depth surveys of current research areas in combinatorial optimization in the broad sense, ranging from applied graph theory to mathematical programming. It also contains numerous new results and shows many interesting current research directions. This book will be indispensible for any researcher in combinatorial optimization.

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Editorial Reviews

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“Das Gebiet der kombinatorischen Optimierung umfasst ein weites Spektrum von verschiedenen mathematischen Problemen und Methoden, und ist sowohl aus praktischer als auch aus theoretischer Sicht interessant. Der praktische Nutzen ist offensichtlich, denn in fast jedem Bereich, der mathematische Methoden zur Analyse oder zur Optimierung verwendet ... treten an prominenter Stelle anspruchsvolle kombinatorische Optimierungsprobleme auf. Ein innermathematisch reizvoller Aspekt wird im Vorwort des rezensierten Buches schön beschrieben ... Insgesamt kann man konstatieren, daß das Buch unbedingt zu empfehlen ist für alle ...“ (Thomas Kalinowski, in: RHO Mathematik Verein, September/2009)

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Product Details

  • ISBN-13: 9783540767954
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 12/12/2008
  • Edition description: 2009
  • Edition number: 1
  • Pages: 562

Table of Contents

On the Location and p-Median Polytopes.- Facet Generating Techniques.- Antimatroids, Betweenness, Convexity.- Euler Complexes.- Strongly Polynomial Algorithm for the Intersection ofaLine with a Polymatroid.- A Survey on Covering Supermodular Functions.- Theory of Principal Partitions Revisited.- Locally Dense Independent Sets in Regular Graphs ofLargeGirth—An Example of a New Approach.- Linear Time Approximation Algorithms forDegreeConstrained Subgraph Problems.- The Unbounded Knapsack Problem.- Recent Developments in Discrete Convex Analysis.- Multiflow Feasibility: An Annotated Tableau.- Many Facets of Dualities.- On the Structure of Graphs Vertex Critical withRespect to Connected Domination.- LS-LIB: A Library of Tools for Solving Production Planning Problems.- From Spheres to Spheropolyhedra: Generalized Distinct Element Methodology and Algorithm Analysis.- Graphic Submodular Function Minimization: AGraphic Approach and Applications.- Matroids—the Engineers’ Revenge.- On the Relative Complexity of 15 Problems Related to0/1-Integer Programming.- Single-Sink Multicommodity Flow withSideConstraints.- An Introduction to Network Flows over Time.- Edge-Connectivity Augmentations ofGraphsandHypergraphs.- Some Problems on Approximate Counting in Graphs and Matroids.

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