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Algebraic Graph Theory

  • Textbook
  • © 2001

Overview

Authors:
  1. Chris Godsil

    1. Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Canada

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    You can also search for this author in PubMed   Google Scholar

  2. Gordon Royle

    1. Department of Computer Science, University of Western Australia, Nedlands, Australia

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Graduate Texts in Mathematics (GTM, volume 207)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xix
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  2. Graphs

    • Chris Godsil, Gordon Royle
    Pages 1-18

  3. Groups

    • Chris Godsil, Gordon Royle
    Pages 19-32

  4. Transitive Graphs

    • Chris Godsil, Gordon Royle
    Pages 33-58

  5. Arc-Transitive Graphs

    • Chris Godsil, Gordon Royle
    Pages 59-76

  6. Generalized Polygons and Moore Graphs

    • Chris Godsil, Gordon Royle
    Pages 77-101

  7. Homomorphisms

    • Chris Godsil, Gordon Royle
    Pages 103-134

  8. Kneser Graphs

    • Chris Godsil, Gordon Royle
    Pages 135-161

  9. Matrix Theory

    • Chris Godsil, Gordon Royle
    Pages 163-192

  10. Interlacing

    • Chris Godsil, Gordon Royle
    Pages 193-216

  11. Strongly Regular Graphs

    • Chris Godsil, Gordon Royle
    Pages 217-247

  12. Two-Graphs

    • Chris Godsil, Gordon Royle
    Pages 249-263

  13. Line Graphs and Eigenvalues

    • Chris Godsil, Gordon Royle
    Pages 265-278

  14. The Laplacian of a Graph

    • Chris Godsil, Gordon Royle
    Pages 279-306

  15. Cuts and Flows

    • Chris Godsil, Gordon Royle
    Pages 307-339

  16. The Rank Polynomial

    • Chris Godsil, Gordon Royle
    Pages 341-372

  17. Knots

    • Chris Godsil, Gordon Royle
    Pages 373-393

  18. Knots and Eulerian Cycles

    • Chris Godsil, Gordon Royle
    Pages 395-425

  19. Back Matter

    Pages 427-443
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Keywords

Reviews

C. Godsil and G.F. Royle

Algebraic Graph Theory

"A welcome addition to the literature . . . beautifully written and wide-ranging in its coverage."—MATHEMATICAL REVIEWS

"An accessible introduction to the research literature and to important open questions in modern algebraic graph theory"—L'ENSEIGNEMENT MATHEMATIQUE

Authors and Affiliations

  • Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Canada

    Chris Godsil

  • Department of Computer Science, University of Western Australia, Nedlands, Australia

    Gordon Royle

Bibliographic Information

  • Book Title: Algebraic Graph Theory

  • Authors: Chris Godsil, Gordon Royle

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4613-0163-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 2001

  • Hardcover ISBN: 978-0-387-95241-3Published: 20 April 2001

  • Softcover ISBN: 978-0-387-95220-8Published: 20 April 2001

  • eBook ISBN: 978-1-4613-0163-9Published: 01 December 2013

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: XIX, 443

  • Topics: Combinatorics

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