Graceful, Harmonious and Magic Type Labelings: Relations and Techniques

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Aimed toward upper undergraduate and graduate students in mathematics, this book examines the foremost forms of graph labelings including magic, harmonious, and graceful labelings. An overview of basic graph theory concepts and notation is provided along with the origins of graph labeling. Common methods and techniques are presented introducing readers to links between graph labels. A variety of useful techniques are presented to analyze and understand properties of graph labelings. The classical results integrated with new techniques, complete proofs, numerous exercises, and a variety of open problems, will provide readers with a solid understanding of graph labelings.

 

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Contents

1 Notation and Terminology
1
2 Graphs Labelings
14
First Type of Relations
33
4 Harmonious Labelings
53
The Shifting Technique
64
Second Type of Relations
91
7 The Polynomial Method
123
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