Topics in Graph Automorphisms and Reconstruction

Nonfiction, Science & Nature, Mathematics, Combinatorics, Discrete Mathematics
Cover of the book Topics in Graph Automorphisms and Reconstruction by Josef Lauri, Raffaele Scapellato, Cambridge University Press
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Author: Josef Lauri, Raffaele Scapellato ISBN: 9781316683415
Publisher: Cambridge University Press Publication: June 2, 2016
Imprint: Cambridge University Press Language: English
Author: Josef Lauri, Raffaele Scapellato
ISBN: 9781316683415
Publisher: Cambridge University Press
Publication: June 2, 2016
Imprint: Cambridge University Press
Language: English

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.

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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.

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