Synopses & Reviews
Synopsis
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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Synopsis
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.