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Magic Graphs [electronic resource] / by Alison M. Marr, W.D. Wallis.

By: Marr, Alison M [author.].
Contributor(s): Wallis, W.D [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: New York, NY : Springer New York : Imprint: Birkhäuser, 2013Edition: 2nd ed. 2013.Description: XVI, 186 p. 34 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780817683917.Subject(s): Mathematics | Computational complexity | Combinatorics | Mathematics | Combinatorics | Discrete Mathematics in Computer Science | Applications of MathematicsDDC classification: 511.6 Online resources: Click here to access online
Contents:
Preface -- List of Figures -- Preliminaries -- Edge-Magic Total Labelings -- Vertex-Magic Total Labelings -- Totally Magic Labelings -- Magic Type Labeling of Digraphs -- Notes on the Research Problems -- References -- Bibliography -- Answers to Selected Exercises -- Index.
In: Springer eBooksSummary: Magic squares are among the more popular mathematical recreations. Over the last 50 years, many generalizations of “magic” ideas have been applied to graphs. Recently there has been a resurgence of interest in “magic labelings” due to a number of results that have applications to the problem of decomposing graphs into trees. Key features of this second edition include: ·         a new chapter on magic labeling of directed graphs ·         applications of theorems from graph theory and interesting counting arguments ·         new research problems and exercises covering a range of difficulties ·         a fully updated bibliography and index This concise, self-contained exposition is unique in its focus on the theory of magic graphs/labelings. It may serve as a graduate or advanced undergraduate text for courses in mathematics or computer science, and as reference for the researcher.
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Preface -- List of Figures -- Preliminaries -- Edge-Magic Total Labelings -- Vertex-Magic Total Labelings -- Totally Magic Labelings -- Magic Type Labeling of Digraphs -- Notes on the Research Problems -- References -- Bibliography -- Answers to Selected Exercises -- Index.

Magic squares are among the more popular mathematical recreations. Over the last 50 years, many generalizations of “magic” ideas have been applied to graphs. Recently there has been a resurgence of interest in “magic labelings” due to a number of results that have applications to the problem of decomposing graphs into trees. Key features of this second edition include: ·         a new chapter on magic labeling of directed graphs ·         applications of theorems from graph theory and interesting counting arguments ·         new research problems and exercises covering a range of difficulties ·         a fully updated bibliography and index This concise, self-contained exposition is unique in its focus on the theory of magic graphs/labelings. It may serve as a graduate or advanced undergraduate text for courses in mathematics or computer science, and as reference for the researcher.

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