Progress in Combinatorial Optimization
eBook - PDF

Progress in Combinatorial Optimization

  1. 386 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Progress in Combinatorial Optimization

Book details
Table of contents
Citations

About This Book

Progress in Combinatorial Optimization provides information pertinent to the fundamental aspects of combinatorial optimization. This book discusses how to determine whether or not a particular structure exists. Organized into 21 chapters, this book begins with an overview of a polar characterization of facets of polyhedra obtained by lifting facets of lower dimensional polyhedra. This text then discusses how to obtain bounds on the value of the objective in a graph partitioning problem in terms of spectral information about the graph. Other chapters consider the notion of a triangulation of an oriented matroid and show that oriented matroid triangulation yield triangulations of the underlying polytopes. This book discusses as well the selected results and problems on perfect ad imperfect graphs. The final chapter deals with the weighted parity problem for gammoids, which can be reduced to the weighted graphic matching problem. This book is a valuable resource for mathematicians and research workers.

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Information

Publisher
Academic Press
Year
2014
ISBN
9781483264530
Topic
Mathematics
Subtopic
Discrete Mathematics
Index
Mathematics

Table of contents

  1. Front Cover
  2. Progress in Combinatorial Optimization
  3. Copyright Page
  4. Table of Contents
  5. CONTRIBUTORS
  6. PREFACE
  7. ACKNOWLEDGMENTS
  8. Chapter 1. Lifting the Facets of Polyhedra
  9. Chapter 2. Partitioning, Spectra and Linear Programming
  10. Chapter 3. Oriented Matroids and Triangulations of Convex Polytopes
  11. Chapter 4. Recent Algorithms for Two Versions of Graph Realization and Remarks on Applications to Linear Programming
  12. Chapter 5. Polynomial Algorithm to Recognize a Meyniel Graph
  13. Chapter 6. Integer Programming Problems for Which a Simple Rounding Type Algorithm Works
  14. Chapter 7. Notes on Perfect Graphs
  15. Chapter 8. Total Dual Integrality of Linear Inequality Systems
  16. Chapter 9. Numbers of Lengths for Representations of Interval Orders
  17. Chapter 10. Submodular Flows
  18. Chapter 11. Geometric Methods in Combinatorial Optimization
  19. Chapter 12. A Fast Algorithm that makes Matrices Optimally Sparse
  20. Chapter 13. Structural Theory for the Combinatorial Systems Characterized by Submodular Functions
  21. Chapter 14. Greedoids - A Structural Framework for the Greedy Algorithm
  22. Chapter 15. Preemptive Scheduling of Uniform Machines Subject to Release Dates
  23. Chapter 16. An Application of Matroid Polyhedral Theory to Unit-Execution Time, Tree-Precedence Job Scheduling
  24. Chapter 17. Some Problems on Dynamic/Periodic Graphs
  25. Chapter 18. Polytopes and Complexity
  26. Chapter 19. Statics and Electric Network Theory: a Unifying Role of Matroids
  27. Chapter 20. Total Dual Integrality from Directed Graphs, Crossing Families, and Sub- and Supermodular Functions
  28. Chapter 21. Solving the Weighted Parity Problem for Gammoids by Reduction to Graphic Matching