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On middle and total graphs with coarseness number equal 1

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Graph Theory

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

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References

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

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

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  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).

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

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

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

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

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Author information

Authors and Affiliations

  1. Department of Mathematics, Pedagigical College, Pl. Słowiański 6, 65-069, Zielona Góra, Poland

    Danuta Michalak

Authors
  1. Danuta Michalak
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M. Borowiecki John W. Kennedy Maciej M. Sysło

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© 1983 Springer-Verlag

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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

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

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12687-4

  • Online ISBN: 978-3-540-38679-7

  • eBook Packages: Springer Book Archive

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