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Random Graphs

2nd Edition

$252.00 (P)

Part of Cambridge Studies in Advanced Mathematics

  • Author: Béla Bollobás, Trinity College, Cambridge and University of Memphis
  • Date Published: October 2001
  • availability: Available
  • format: Hardback
  • isbn: 9780521809207

$ 252.00 (P)
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About the Authors
  • This is a new edition of the now classic text. The already extensive treatment given in the first edition has been heavily revised by the author. The addition of two new sections, numerous new results and 150 references means that this represents an up-to-date and comprehensive account of random graph theory. The theory estimates the number of graphs of a given degree that exhibit certain properties. It not only has numerous combinatorial applications, but also serves as a model for the probabilistic treatment of more complicated random structures. This book, written by an acknowledged expert in the field, can be used by mathematicians, computer scientists and electrical engineers, as well as people working in biomathematics. It is self contained, and with numerous exercises in each chapter, is ideal for advanced courses or self study.

    • New edition of classic text
    • New sections and numerous additions bring the book right up to date
    • Subject with wide appeal will be useful for mathematicians, computer scientists, electrical engineers and biomathematicians
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    Reviews & endorsements

    "An up-to-date, comprehensive account of the random graph theory, this edition of what's considered a "classic" text contians two new sections, numerous new results, and over 150 references."
    Poptronics

    "The book is very impressive in the wealth of information it offers. It is bound to become a reference material on random graphs."
    Miklos Bona, SIGACT News

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    Product details

    • Edition: 2nd Edition
    • Date Published: October 2001
    • format: Hardback
    • isbn: 9780521809207
    • length: 520 pages
    • dimensions: 229 x 152 x 33 mm
    • weight: 0.93kg
    • contains: 10 b/w illus. 8 tables
    • availability: Available
  • Table of Contents

    1. Probability theoretic preliminaries
    2. Models of random graphs
    3. The degree sequence
    4. Small subgraphs
    5. The evolution of random graphs - sparse components
    6. The evolution of random graphs-the giant component
    7. Connectivity and components
    8. Long paths and cycles
    9. The automorphism group
    10. The diameter
    11. Cliques, independent sets and colouring
    12. Ramsey theory
    13. Explicit constructions
    14. Sequences, matrices and permutations
    15. Sorting algorithms
    16. Random graphs of small order.

  • Author

    Béla Bollobás, Trinity College, Cambridge and University of Memphis
    Béla Bollobás has taught at Cambridge University's Department of Pure Maths and Mathematical Statistics for over 25 years and has been a fellow of Trinity College for 30 years. Since 1996, he has held the unique Chair of Excellence in the Department of Mathematical Sciences at the University of Memphis. Bollobás has previously written over 250 research papers in extremal and probabilistic combinatorics, functional analysis, probability theory, isoperimetric inequalities and polynomials of graphs.

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