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Total Domination in Graphs

  • Michael A. Henning
  • Anders Yeo

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Michael A. Henning, Anders Yeo
    Pages 1-8
  3. Michael A. Henning, Anders Yeo
    Pages 9-17
  4. Michael A. Henning, Anders Yeo
    Pages 19-29
  5. Michael A. Henning, Anders Yeo
    Pages 31-38
  6. Michael A. Henning, Anders Yeo
    Pages 39-54
  7. Michael A. Henning, Anders Yeo
    Pages 55-58
  8. Michael A. Henning, Anders Yeo
    Pages 59-64
  9. Michael A. Henning, Anders Yeo
    Pages 65-69
  10. Michael A. Henning, Anders Yeo
    Pages 71-75
  11. Michael A. Henning, Anders Yeo
    Pages 77-81
  12. Michael A. Henning, Anders Yeo
    Pages 83-101
  13. Michael A. Henning, Anders Yeo
    Pages 103-108
  14. Michael A. Henning, Anders Yeo
    Pages 109-118
  15. Michael A. Henning, Anders Yeo
    Pages 119-124
  16. Michael A. Henning, Anders Yeo
    Pages 125-129
  17. Michael A. Henning, Anders Yeo
    Pages 131-139
  18. Michael A. Henning, Anders Yeo
    Pages 141-148
  19. Michael A. Henning, Anders Yeo
    Pages 149-158
  20. Back Matter
    Pages 159-178

About this book

Introduction

Total Domination in Graphs gives a clear understanding  of this topic to any interested reader who has a modest background in graph theory. This book provides and explores the fundamentals of total domination in graphs. Some of the topics featured include the interplay between total domination in graphs and transversals in hypergraphs, and the association with total domination in graphs and diameter-2-critical graphs. Several proofs are included in this text which enables readers to acquaint themselves with a toolbox of proof techniques and ideas with which to attack open problems in the field. This work is  an excellent resource for students interested in beginning their research in this field.  Additionally, established researchers will find the book valuable to have as it contains the latest developments and open problems.

Keywords

Hypergraph Nordhaus-Gaddum Total Domination diameter-2-critical graphs

Authors and affiliations

  • Michael A. Henning
    • 1
  • Anders Yeo
    • 2
  1. 1., Department of MathematicsUniversity of JohannesburgAuckland ParkSouth Africa
  2. 2., Department of MathematicsUniversity of JohannesburgAuckland ParkSouth Africa

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-6525-6
  • Copyright Information Springer Science+Business Media New York 2013
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-6524-9
  • Online ISBN 978-1-4614-6525-6
  • Series Print ISSN 1439-7382
  • Buy this book on publisher's site