Magic Graphs

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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:

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a new chapter on magic labeling of directed graphs

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applications of theorems from graph theory and interesting counting arguments

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new research problems and exercises covering a range of difficulties

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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.