Magic Graphs
Published on 15. June 2001
Book
Paperback/Softback
XIV, 146 pages
978-0-8176-4252-5 (ISBN)
Description
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.
Reviews / Votes
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)More details
Edition
2001
Language
English
Place of publication
MA
United States
Target group
College/higher education
Professional and scholarly
Graduate
Product notice
Paperback (trade)
Illustrations
1 s/w Tabelle
1 black & white tables
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Thickness: 9 mm
Weight
540 gr
ISBN-13
978-0-8176-4252-5 (9780817642525)
DOI
10.1007/978-1-4612-0123-6
Schweitzer Classification
Other editions
New editions
Alison M. Marr | W.D. Wallis
Magic Graphs
Book
11/2012
2nd Edition
Birkhauser Boston Inc
€53.49
Shipment within 15-20 days
Additional editions
Content
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