Magic Graphs - Brossura

Wallis, W. D.

Brossura

ISBN 10: 0817642528 ISBN 13: 9780817642525

Casa editrice: Birkhauser, 2008

Riassunto

Magic squares, their origins lost in antiquity, are among the more popular mathematical recreations. "Magic" ideas have also been applied to graphs, labellings, and trees. Unlike many elusive subjects in this area, the problem for vertex-magic total labelings has been solved, and the details are examined in this volume.

Su questo libro

Recensione

From the reviews:

"The book is a beautiful collection of recent results on the topic of ‘magic labelings’."

―MATHEMATICAL REVIEWS

“The book should be accessible to advanced undergraduates or beginning graduate students. It might serve as inspiration for an REU program or as a source for senior undergraduate research projects, particularly if supervised by a mathematician who is truly ‘up’ on what is going on in this field.”(MAA REVIEWS)

Contenuti

Preface * List of Figures * 1. Preliminaries * 1.1 Magic * 1.2 Graphs * 1.3 Labelings * 1.4 Magic Labeling * 1.5 Some Applications of Magic Labelings * 2. Edge-Magic Total Labelings * 2.1 Basic Ideas * 2.2 Graphs with No Edge-Magic Total Labelings * 2.3 Cliques and Complete Graphs * 2.4 Cycles * 2.5 Complete Bipartite Graphs * 2.6 Wheels * 2.7 Trees * 2.8 Disconnected Graphs * 2.9 Strong Edge-Magic Total Labelings * 2.10 Edge-Magic Injections * 3. Vertex-Magic Total Labelings * 3.1 Basic Ideas * 3.2 Regular Graphs * 3.3 Cycles and Paths * 3.4 Vertex-Magic Total Labelings of Wheels * 3.5 Vertex-Magic Total Labelings of Complete Bipartite Graphs * 3.6 Graphs with Vertices of Degree One * 3.7 The Complete Graphs * 3.8 Disconnected Graphs * 3.9 Vertex-Magic Injections * 4. Totally Magic Labelings * 4.1 Basic Ideas * 4.2 Isolates and Stars * 4.3 Forbidden Configurations * 4.4 Unions of Triangles * 4.5 Small Graphs * 4.6 Totally Magic Injections * Notes on the Research Problems * Bibliography * Solutions to Selected Exercises * Index

Dettagli dell'edizione

• Editore: Birkhauser
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 0817642528
• ISBN 13: 9780817642525
• Rilegatura: Copertina flessibile
• Numero di pagine: 146
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile