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A Course in Combinatorics

A Course in Combinatorics

2nd Edition

  • Date Published: December 2001
  • availability: Available
  • format: Paperback
  • isbn: 9780521006019


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About the Authors
  • Combinatorics, a subject dealing with ways of arranging and distributing objects, involves ideas from geometry, algebra, and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and algorithm complexity. It has thus become an essential tool in many scientific fields. In this second edition the authors have made the text as comprehensive as possible, dealing in a unified manner with such topics as graph theory, extremal problems, designs, colorings, and codes. The depth and breadth of the coverage make the book a unique guide to the whole of the subject. It is ideal for courses on combinatorical mathematics at the advanced undergraduate or beginning graduate level, and working mathematicians and scientists will also find it a valuable introduction and reference.

    • Uniquely comprehensive coverage
    • Authors are leading experts
    • Very pedagogic - carefully explained
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    Reviews & endorsements

    "...their choice of subject matter is superb...would indeed make an excellent text for a full-year introduction to combinatorics." Mathematical Reviews

    "...this is a valuable book both for the professional with a passing interest in combinatorics and for the students for whom it is primarily intended." Times Higher Education Supplement

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    Product details

    • Edition: 2nd Edition
    • Date Published: December 2001
    • format: Paperback
    • isbn: 9780521006019
    • length: 620 pages
    • dimensions: 244 x 170 x 33 mm
    • weight: 1.02kg
    • contains: 66 b/w illus.
    • availability: Available
  • Table of Contents

    1. Graphs
    2. Trees
    3. Colorings of graphs and Ramsey's theorem
    4. Turán's theorem and extremal graphs
    5. Systems of distinct representatives
    6. Dilworth's theorem and extremal set theory
    7. Flows in networks
    8. De Bruijn sequences
    9. The addressing problem for graphs
    10. The principle of inclusion and exclusion: inversion formulae
    11. Permanents
    12. The Van der Waerden conjecture
    13. Elementary counting: Stirling numbers
    14. Recursions and generating functions
    15. Partitions
    16. (0,1)-matrices
    17. Latin squares
    18. Hadamard matrices, Reed-Muller codes
    19. Designs
    20. Codes and designs
    21. Strongly regular graphs and partial geometries
    22. Orthogonal Latin squares
    23. Projective and combinatorial geometries
    24. Gaussian numbers and q-analogues
    25. Lattices and Möbius inversion
    26. Combinatorial designs and projective geometries
    27. Difference sets and automorphisms
    28. Difference sets and the group ring
    29. Codes and symmetric designs
    30. Association schemes
    31. Algebraic graph theory: eigenvalue techniques
    32. Graphs: planarity and duality
    33. Graphs: colorings and embeddings
    34. Electrical networks and squared squares
    35. Pólya theory of counting
    36. Baranyai's theorem
    Name index
    Subject index.

  • Authors

    J. H. van Lint, Technische Universiteit Eindhoven, The Netherlands

    R. M. Wilson, California Institute of Technology

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