Springer Science, 2013. — 198 p. — 2nd ed. — ISBN: 0817683909, 9780817683900. e-ISBN 9780817683917. 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. Keywords » directed graph labeling - edge-magic total labelings - magic graphs - magic labelings - magic squares - vertex-magic total labelings.
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