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.
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.
Magic and antimagic labelings are among the oldest labeling schemes in graph theory. This book takes readers on a journey through these labelings, from early beginnings with magic squares up to the...
This book brings together rituals, incantations and secrets of two of the most powerful and controversial forms of magical art: black magic and red magic. It is not a work for those who seek light...
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