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Research Trends in Combinatorial Optimization


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On the Location and p-Median Polytopes.- Facet Generating Techniques.- Antimatroids, Betweenness, Convexity.- Euler Complexes.- Strongly Polynomial Algorithm for the Intersection of a Line with a Polymatroid.- A Survey on Covering Supermodular Functions.- Theory of Principal Partitions Revisited.- Locally Dense Independent Sets in Regular Graphs of Large Girth-An Example of a New Approach.- Linear Time Approximation Algorithms for Degree Constrained 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 with Respect 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: A Graphic Approach and Applications.- Matroids-the Engineers' Revenge.- On the Relative Complexity of 15 Problems Related to 0/1-Integer Programming.- Single-Sink Multicommodity Flow with Side Constraints.- An Introduction to Network Flows over Time.- Edge-Connectivity Augmentations of Graphs and Hypergraphs.- Some Problems on Approximate Counting in Graphs and Matroids.


Aus den Rezensionen: "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 schoen beschrieben ... Insgesamt kann man konstatieren, dass das Buch unbedingt zu empfehlen ist fur alle ..." (Thomas Kalinowski, in: RHO Mathematik Verein, September/2009)

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