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Topics in Graph Automorphisms and Reconstruction

2nd Edition

£52.99

Part of London Mathematical Society Lecture Note Series

  • Date Published: June 2016
  • availability: In stock
  • format: Paperback
  • isbn: 9781316610442

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  • This in-depth coverage of important areas of graph theory maintains a focus on symmetry properties of graphs. Standard topics on graph automorphisms are presented early on, while in later chapters more specialised topics are tackled, such as graphical regular representations and pseudosimilarity. The final four chapters are devoted to the reconstruction problem, and here special emphasis is given to those results that involve the symmetry of graphs, many of which are not to be found in other books. This second edition expands on several of the topics found in the first edition and includes both an enriched bibliography and a wide collection of exercises. Clearer proofs are provided, as are new examples of graphs with interesting symmetry properties. Any student who masters the contents of this book will be well prepared for current research in many aspects of the theory of graph automorphisms and the reconstruction problem.

    • Illustrates several viewpoints of symmetry in graphs within a single volume
    • Proposes new and unifying approaches to several topics
    • One of the few books to contain an extended treatment of the reconstruction problem in graph theory
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    Product details

    • Edition: 2nd Edition
    • Date Published: June 2016
    • format: Paperback
    • isbn: 9781316610442
    • length: 194 pages
    • dimensions: 227 x 152 x 12 mm
    • weight: 0.3kg
    • contains: 35 b/w illus. 155 exercises
    • availability: In stock
  • Table of Contents

    Preface to the second edition
    Preface to the first edition
    1. Graphs and groups: preliminaries
    2. Various types of graph symmetry
    3. Cayley graphs
    4. Orbital graphs and strongly regular graphs
    5. Graphical regular representations and pseudosimilarity
    6. Products of graphs
    7. Special classes of vertex-transitive graphs and digraphs
    8. The reconstruction conjectures
    9. Reconstructing from subdecks
    10. Counting arguments in vertex-reconstruction
    11. Counting arguments in edge-reconstruction
    References
    List of notation
    Index of terms and definitions.

  • Authors

    Josef Lauri, University of Malta
    Josef Lauri is a Professor in the Department of Mathematics at the University of Malta. His main areas of research interest are in graph reconstruction and related problems in graph symmetries, and in colouring problems of mixed hypergraphs.

    Raffaele Scapellato, Politecnico di Milano
    Raffaele Scapellato is a Professor in the Department of Mathematics at Politecnico di Milano in Italy. His research interests mostly concern graph theory, and he has a strong background in algebra.

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