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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.Read more
- 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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- 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: Available
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
List of notation
Index of terms and definitions.
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