Synopses & Reviews
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: ·
Review
From the reviews of the second edition: "The book Magic Graphs, is self-contained, good, admirably clear, and a stimulating and very well written. This concise text-book is the only book of its kind in the area of magic graphs/labeling, it contains numerous exercises, and their solutions, and includes updates on new research in the field. ... describe the main concepts of magic graphs and labeling, together with full proofs that would be both accessible to beginners and useful for graduate and advanced undergraduate ... and as reference for the researcher." (Francisco José Cano Sevilla, The European Mathematical Society, April, 2013)
Review
From the reviews of the second edition:"The book Magic Graphs, is self-contained, good, admirably clear, and a stimulating and very well written. This concise text-book is the only book of its kind in the area of magic graphs/labeling, it contains numerous exercises, and their solutions, and includes updates on new research in the field. ... describe the main concepts of magic graphs and labeling, together with full proofs that would be both accessible to beginners and useful for graduate and advanced undergraduate ... and as reference for the researcher." (Francisco José Cano Sevilla, The European Mathematical Society, April, 2013)
Synopsis
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.
Table of Contents
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.