Skip to main content
Book cover

Graph Theory pp 139–150Cite as

On middle and total graphs with coarseness number equal 1

Part of the Lecture Notes in Mathematics book series (LNM,volume 1018)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. Akiyama, Forbidden subgraphs for planar total graphs, J. Combinatorics Information System Sciences, 3 (1978), 255–260.

    MathSciNet  MATH  Google Scholar 

  2. M. Behzad, A criterion for the planarity of total graph, Proc. Cambridge Philos. Soc., 63 (1967), 679–681.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. M. Borowiecki and D. Michalak, On planarity and outerplanarity of total, line and middle graphs, Report Nr. IF-6-79 WSI nż., Zielona Góra, (1979).

    Google Scholar 

  4. F. Harary, Graph Theory, Addison Wesley, Reading, Mass., (1969).

    MATH  Google Scholar 

  5. D. Michalak, On line graphs with coarseness number equal 1, Disc. Math., (to appear).

    Google Scholar 

  6. E. Sampathkumar and S.B. Chikkodimath, Semi-total graphs of a graph I, Karnatak Univ. Journal: Science, 18 (1973), 274–280.

    MathSciNet  MATH  Google Scholar 

  7. E. Sampathkumar and S.B. Chikkodimath, Semi-total graphs of a graph III, Karnatak univ. Journal: Science, 18 (1973), 285–296.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Michalak, D. (1983). On middle and total graphs with coarseness number equal 1. In: Borowiecki, M., Kennedy, J.W., Sysło, M.M. (eds) Graph Theory. Lecture Notes in Mathematics, vol 1018. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071624

Download citation

  • DOI: https://doi.org/10.1007/BFb0071624

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12687-4

  • Online ISBN: 978-3-540-38679-7

  • eBook Packages: Springer Book Archive