Skip to main content
SpringerLink
Log in

Recent results on graphical enumeration

  • Part I: Invited Papers
  • Conference paper
  • First Online:
Graphs and Combinatorics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 406))

Abstract

We present four of our counting results which are to appear soon in various journals. These comprise: (1) the number of caterpillars, (2) the number of self-complementary configurations, (3) the number of achiral trees, and (4) the probability of an endpoint in a large random tree. We conclude with a brief mention of four miscellaneous results.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Balaban, A. T., Harary, F., and Robinson, R. W., Enantiomeric Steric Trees, Tetrahedron, submitted.

    Google Scholar 

  2. Chao, C-Y., The Number of Labeled Symmetric Graphs. Discrete Math. to appear.

    Google Scholar 

  3. Frucht, R., and Harary, F., Self-complementary Generalized Orbits of a Permutation Group. Canad. Math. Bull., to appear, 1974.

    Google Scholar 

  4. Harary, F., Graph Theory. Addison-Wesley, Reading, 1969.

    Google Scholar 

  5. Harary, F., Recent Results on Trees, this volume p. 1.

    Google Scholar 

  6. Harary, F., and Palmer, E. M., Graphical Enumeration. Academic Press, New York, 1973.

    MATH  Google Scholar 

  7. Harary, F., and Robinson, R. W., The Number of Tapeworms, to appear.

    Google Scholar 

  8. Harary, F., and Robinson, R. W., The Number of Achiral Trees, J. Reine Agnew. Math., to appear.

    Google Scholar 

  9. Harary, F., and Schwenk, A. J., The Number of Caterpillars. Discrete Math., to appear, 1974.

    Google Scholar 

  10. Palmer, E. M., and Robinson, R. W., Enumeration Under Two Representations of the Wreath Product, Acta Math., to appear.

    Google Scholar 

  11. Read, R. C., On the Number of Self-complementary Graphs and Digraphs. J. London Math. Soc., 38 (1963) 99–104.

    Article  MathSciNet  MATH  Google Scholar 

  12. Robinson, R. W., and Schwenk, A. J., The Distribution of Degrees in a Large Random Tree. Proc. Cambridge Phil. Soc., submitted.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Michigan, USA

    Frank Harary

Authors
  1. Frank Harary
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Ruth A. Bari Frank Harary

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Springer-Verlag Berlin

About this paper

Cite this paper

Harary, F. (1974). Recent results on graphical enumeration. In: Bari, R.A., Harary, F. (eds) Graphs and Combinatorics. Lecture Notes in Mathematics, vol 406. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066432

Download citation

  • DOI: https://doi.org/10.1007/BFb0066432

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06854-9

  • Online ISBN: 978-3-540-37809-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation