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  • Book
  • © 2019

How to Label a Graph

  • Covers fundamentals of different interpretations of labeling graphs
  • Provides examples and illustrations for wide variety of graph labeling
  • Introduces new graph labeling with connection to Four Color Theorem

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

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xiii
  2. Introduction

    • Gary Chartrand, Cooroo Egan, Ping Zhang
    Pages 1-5
  3. Graceful Labelings

    • Gary Chartrand, Cooroo Egan, Ping Zhang
    Pages 7-19
  4. Harmonious Labelings

    • Gary Chartrand, Cooroo Egan, Ping Zhang
    Pages 21-28
  5. Prime Labelings

    • Gary Chartrand, Cooroo Egan, Ping Zhang
    Pages 29-51
  6. Additive Labelings

    • Gary Chartrand, Cooroo Egan, Ping Zhang
    Pages 53-67
  7. Zonal Labelings

    • Gary Chartrand, Cooroo Egan, Ping Zhang
    Pages 69-84
  8. Back Matter

    Pages 85-89

About this book

This book depicts graph labelings that have led to thought-provoking problems and conjectures. Problems and conjectures in graceful labelings, harmonious labelings, prime labelings, additive labelings, and zonal labelings are introduced with fundamentals, examples, and illustrations. A new labeling with a connection to the four color theorem is described to aid mathematicians to initiate new methods and techniques to study classical coloring problems from a new perspective. Researchers and graduate students interested in graph labelings will find the concepts and problems featured in this book valuable for finding new areas of research.

Reviews

“The writing is crisp, clear and instructive, appropriate for undergraduates with a grasp of graph theory fundamentals. … The book is best suited as a companion text to introduce undergraduate students to graph labeling problems, perhaps via a research workshop.” (André E. Kézdy, Mathematical Reviews, April, 2020)

Authors and Affiliations

  • Department of Mathematics, Western Michigan University, Kalamazoo, USA

    Gary Chartrand, Ping Zhang

  • Melbourne, Australia

    Cooroo Egan

Bibliographic Information

Buy it now

Buying options

eBook USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access