Topics in Graph Automorphisms and Reconstr...

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

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.

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2016
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	Kartoniert / Broschiert
ISBN-13:	9781316610442
ISBN-10:	1316610446
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Lauri, Josef Scapellato, Raffaele
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	229 x 152 x 12 mm
Von/Mit:	Josef Lauri (u. a.)
Erscheinungsdatum:	02.06.2016
Gewicht:	0,346 kg