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Magic Graphs

by Marr, Alison M.
Authors: Wallis, W.D.%author. | SpringerLink (Online service) Physical details: XVI, 186 p. 34 illus. online resource. ISBN: 0817683917 Subject(s): Mathematics. | Computational complexity. | Combinatorics. | Mathematics. | Combinatorics. | Discrete Mathematics in Computer Science. | Applications of Mathematics.
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E-Book E-Book AUM Main Library 511.6 (Browse Shelf) Not for loan

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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