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.
This concise, self-contained exposition is unique in its focus on the theory of magic graphs/labelings and its application to a number of new areas. It may serve as a graduate text for courses and seminars in mathematics or computer science, or as a professional text for the researcher.
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 book reviews:
The text contains a plethora of exercises and very often research problems are stated. At the end of the book some selected exercises are solved. & We warmly recommend this book for those students, from high school to graduate school, who love elementary problems, combinatorial ideas and deep problems. Teachers, researchers can find many project ideas forl3*
![Magic Graphs [Paperback]](/itemImage/2/9/5/8/2_859565.jpg)