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Total Colourings of Graphs

  • Book
  • © 1996

Overview

Authors:
  1. Hian-Poh Yap
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1623)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Basic terminology and introduction

    • Hian-Poh Yap
    Pages 1-6

  3. Some basic results

    • Hian-Poh Yap
    Pages 7-14

  4. Complete r-partite graphs

    • Hian-Poh Yap
    Pages 15-24

  5. Graphs of low degree

    • Hian-Poh Yap
    Pages 25-34

  6. Graphs of high degree

    • Hian-Poh Yap
    Pages 35-52

  7. Classification of type 1 and type 2 graphs

    • Hian-Poh Yap
    Pages 53-95

  8. Total chromatic number of planar graphs

    • Hian-Poh Yap
    Pages 96-103

  9. Some upper bounds for the total chromatic number of graphs

    • Hian-Poh Yap
    Pages 104-113

  10. Concluding remarks

    • Hian-Poh Yap
    Pages 114-120

  11. Back Matter

    Pages 121-131
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Keywords

About this book

This book provides an up-to-date and rapid introduction to an important and currently active topic in graph theory. The author leads the reader to the forefront of research in this area. Complete and easily readable proofs of all the main theorems, together with numerous examples, exercises and open problems are given. The book is suitable for use as a textbook or as seminar material for advanced undergraduate and graduate students. The references are comprehensive and so it will also be useful for researchers as a handbook.

Bibliographic Information

  • Book Title: Total Colourings of Graphs

  • Authors: Hian-Poh Yap

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0092895

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1996

  • Softcover ISBN: 978-3-540-60717-5Published: 19 February 1996

  • eBook ISBN: 978-3-540-49301-3Published: 13 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 140

  • Topics: Combinatorics

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