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Graceful, Harmonious and Magic Type Labelings

Relations and Techniques

  • Book
  • © 2017

Overview

Authors:
  1. Susana C. López

    1. Department of Mathematics, Universitat Politècnica de Catalunya Department of Mathematics, Barcelona, Spain

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    You can also search for this author in PubMed   Google Scholar

  2. Francesc A. Muntaner-Batle

    1. School of Electrical Engineering and Com, The University of Newcastle School of Electrical Engineering and Com, Newcastle, Australia

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Combines classical results with new techniques
  • Features complete proofs, numerous examples and open problems
  • Details the origins of graph labelings

Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Notation and Terminology

    • Susana C. López, Francesc A. Muntaner-Batle
    Pages 1-13

  3. Graphs Labelings

    • Susana C. López, Francesc A. Muntaner-Batle
    Pages 15-31

  4. Super Edge Magic Labelings: First Type of Relations

    • Susana C. López, Francesc A. Muntaner-Batle
    Pages 33-52

  5. Harmonious Labelings

    • Susana C. López, Francesc A. Muntaner-Batle
    Pages 53-63

  6. Graceful Labelings: The Shifting Technique

    • Susana C. López, Francesc A. Muntaner-Batle
    Pages 65-90

  7. The ⊗-Product of Digraphs: Second Type of Relations

    • Susana C. López, Francesc A. Muntaner-Batle
    Pages 91-122

  8. The Polynomial Method

    • Susana C. López, Francesc A. Muntaner-Batle
    Pages 123-134
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Keywords

About this book

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.

Reviews

“The relationships among different labelings discussed here will be useful for researchers. This book is well organised. The style of writing of this book smoothly takes the reader into the topic. … As the book contains proof of some theorems, it is a good guide for researchers beginning research in graph labeling. … This book is stimulating and very well written.” (A. Lourdusamy, zbMATH 1376.05001, 2018)

Authors and Affiliations

  • Department of Mathematics, Universitat Politècnica de Catalunya Department of Mathematics, Barcelona, Spain

    Susana C. López

  • School of Electrical Engineering and Com, The University of Newcastle School of Electrical Engineering and Com, Newcastle, Australia

    Francesc A. Muntaner-Batle

Bibliographic Information

  • Book Title: Graceful, Harmonious and Magic Type Labelings

  • Book Subtitle: Relations and Techniques

  • Authors: Susana C. López, Francesc A. Muntaner-Batle

  • Series Title: SpringerBriefs in Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-52657-7

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Author(s) 2017

  • Softcover ISBN: 978-3-319-52656-0Published: 07 March 2017

  • eBook ISBN: 978-3-319-52657-7Published: 26 February 2017

  • Series ISSN: 2191-8198

  • Series E-ISSN: 2191-8201

  • Edition Number: 1

  • Number of Pages: XII, 134

  • Number of Illustrations: 82 b/w illustrations

  • Topics: Graph Theory, Algorithms, Combinatorics

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