Total Domination in Graphs

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 gr...

Full description

Bibliographic Details
Main Authors: Henning, Michael A., Yeo, Anders (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 2013, 2013
Edition:1st ed. 2013
Series:Springer Monographs in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 1. Introduction
  • 2. Properties of Total Dominating Sets and General Bounds
  • 3. Complexity and Algorithmic Results
  • 4.Total Domination in Trees
  • 5.Total Domination and Minimum Degree
  • 6. Total Domination in Planar Graphs
  • 7. Total Domination and Forbidden Cycles
  • 8. Relating the Size and Total Domination Number
  • 9. Total Domination in Claw-Free Graphs
  • 10. Total Domination Number versus Matching Number
  • 11. Total Domination Critical Graphs
  • 12. Total Domination and Graph Products
  • 13. Graphs with Disjoint Total Dominating Sets
  • 14. Total Domination in Graphs with Diameter Two
  • 15. Nordhaus-Gaddum Bounds for Total Domination
  • 16. Upper Total Domination
  • 17.Variations of Total Domination
  • 18. Conjectures and Open Problems
  • Index