Topics in Graph Automorphisms and Reconstruction / Edition 2

by Josef Lauri, Raffaele Scapellato

Overview

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.

Product Details

ISBN-13:	9781316610442
Publisher:	Cambridge University Press
Publication date:	06/02/2016
Series:	London Mathematical Society Lecture Note Series , #432
Edition description:	Reprint
Pages:	194
Product dimensions:	5.98(w) x 8.94(h) x 0.47(d)

About the Author

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 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.

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.

Editorial Reviews

"This readable survey by Lauri and Scapellato covers considerable ground in a small number of pages. Recommended."
Choice


"...Would be a useful means for understanding the current state of research in graph theory and as such, it would be a valuable reference in any library."
Medhat H. Rahim, Lakehead University, School Science and Mathematics Journal

From the Publisher