Skip to main content

Total Domination Number Versus Matching Number

  • Chapter
  • First Online:
Total Domination in Graphs

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

Abstract

In the metadata of the chapter that will be visualized online, please make the following change: “In this chapter, we relate the total domination number of a graph with its matching number”

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Bollobás, B., Cockayne, E.J.: Graph-theoretic parameters concerning domination, independence, and irredundance. J. Graph Theory 3, 241–249 (1979)

    Article  MathSciNet  MATH  Google Scholar 

  2. DeLaViña, E., Liu, Q., Pepper, R., Waller, B., West, D.B.: Some conjectures of Graffiti.pc on total domination. Congressus Numer. 185, 81–95 (2007)

    MATH  Google Scholar 

  3. Henning, M.A., Kang, L., Shan, E., Yeo, A.: On matching and total domination in graphs. Discrete Math. 308, 2313–2318 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  4. Henning, M.A., Yeo, A.: Total domination and matching numbers in claw-free graphs. Electronic J. Combin. 13, #59 (2006)

    Google Scholar 

  5. Henning, M.A., Yeo, A.: Total domination and matching numbers in graphs with all vertices in triangles. Discrete Math. 313, 174–181 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  6. O, S., West, D.B.: Balloons, cut-edges, matchings, and total domination in regular graphs of odd degree. J. Graph Theory 64, 116–131 (2010)

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer Science+Business Media New York

About this chapter

Cite this chapter

Henning, M.A., Yeo, A. (2013). Total Domination Number Versus Matching Number. In: Total Domination in Graphs. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6525-6_10

Download citation

Publish with us

Policies and ethics