Discrete Structures and Their Interactions

Discrete Structures and Their Interactions

by Jason I. Brown
Released April 2016
Publisher(s): Chapman and Hall/CRC
ISBN: 9781466579422

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Book description

With exercises and research problems, this text highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores their relationships to classical areas of mathematics, such as linear and multilinear algebra, analysis, probability, logic, and topology. The author explains how discrete structures have important applications in many areas inside and outside of combinatorics. He also discusses how to recognize valuable research connections through the structures.

Table of contents

  1. Front Cover (1/2)
  2. Front Cover (2/2)
  3. Contents
  4. List of Figures
  5. Symbol Description
  6. Preface
  7. Acknowledgments
  8. About the Author
  9. Chapter 1: Introduction
  10. Chapter 2: Discrete Structures - A Common Framework (1/4)
  11. Chapter 2: Discrete Structures - A Common Framework (2/4)
  12. Chapter 2: Discrete Structures - A Common Framework (3/4)
  13. Chapter 2: Discrete Structures - A Common Framework (4/4)
  14. Chapter 3: Graphs and Directed Graphs (1/9)
  15. Chapter 3: Graphs and Directed Graphs (2/9)
  16. Chapter 3: Graphs and Directed Graphs (3/9)
  17. Chapter 3: Graphs and Directed Graphs (4/9)
  18. Chapter 3: Graphs and Directed Graphs (5/9)
  19. Chapter 3: Graphs and Directed Graphs (6/9)
  20. Chapter 3: Graphs and Directed Graphs (7/9)
  21. Chapter 3: Graphs and Directed Graphs (8/9)
  22. Chapter 3: Graphs and Directed Graphs (9/9)
  23. Chapter 4: Preorders and Partial Orders (1/5)
  24. Chapter 4: Preorders and Partial Orders (2/5)
  25. Chapter 4: Preorders and Partial Orders (3/5)
  26. Chapter 4: Preorders and Partial Orders (4/5)
  27. Chapter 4: Preorders and Partial Orders (5/5)
  28. Chapter 5: Hypergraphs (1/6)
  29. Chapter 5: Hypergraphs (2/6)
  30. Chapter 5: Hypergraphs (3/6)
  31. Chapter 5: Hypergraphs (4/6)
  32. Chapter 5: Hypergraphs (5/6)
  33. Chapter 5: Hypergraphs (6/6)
  34. Chapter 6: Complexes and Multicomplexes (1/10)
  35. Chapter 6: Complexes and Multicomplexes (2/10)
  36. Chapter 6: Complexes and Multicomplexes (3/10)
  37. Chapter 6: Complexes and Multicomplexes (4/10)
  38. Chapter 6: Complexes and Multicomplexes (5/10)
  39. Chapter 6: Complexes and Multicomplexes (6/10)
  40. Chapter 6: Complexes and Multicomplexes (7/10)
  41. Chapter 6: Complexes and Multicomplexes (8/10)
  42. Chapter 6: Complexes and Multicomplexes (9/10)
  43. Chapter 6: Complexes and Multicomplexes (10/10)
  44. Chapter 7: Research Problems
  45. Selected Solutions
  46. Appendix A: Set Theory
  47. Appendix B: Matrix Theory and Linear Algebra
  48. Appendix C: Abstract Algebra
  49. Appendix D: Probability
  50. Appendix E: Topology
  51. Appendix F: Logic
  52. Bibliography (1/2)
  53. Bibliography (2/2)
  54. Back Cover

Product information

  • Title: Discrete Structures and Their Interactions
  • Author(s): Jason I. Brown
  • Release date: April 2016
  • Publisher(s): Chapman and Hall/CRC
  • ISBN: 9781466579422