Magic Graphs - Alison M. Marr

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Résumé :
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.

Sommaire:
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.

From the reviews of the second edition: