Skip to main content

On Some Local Characteristics of Distance-Transitive Graphs

  • Chapter
Investigations in Algebraic Theory of Combinatorial Objects

Part of the book series: Mathematics and Its Applications ((MASS,volume 84))

  • 347 Accesses

Abstract

The definitions, notations and preliminary information concerning distance-regular graphs (DRG) and distance-transitive graphs (DTG) can be found in the papers [1], [2], [3], [5].

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 139.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. N.L. Biggs, Automorphic graphs and the Krein condition, Geom. Dedic., 5 (1976), 117 – 127.

    Google Scholar 

  2. A.E. Brouwer, A.M. Cohen, A. Neumaier, Distance Regular Graphs. Springer Verlag, Berlin, 1989.

    Book  MATH  Google Scholar 

  3. I.A. Faradžev, M.H. Klin, M.E. Muzichuk, Cellular rings and groups of automorphisms of graphs,[In this volume]

    Google Scholar 

  4. A.A. Ivanov, On 2-transitive graphs of girth 5, Europ. J. Comb., 8 (1987), 393 – 420.

    MATH  Google Scholar 

  5. A.A. Ivanov, A.V. Ivanov, I.A. Faradžev, Distance-transitive graphs of valency 5, 6 and 7. Zhurnal Vichisi. Mat. i Mat. Fizik., 11 (1984), 1703-1718. [In Russian, translated in: U.S.S.R. Comput. Maths. Math. Phys., 24 (1984), 67–76.]

    Google Scholar 

  6. A.A. Ivanov, A.V. Ivanov, Distance-transitive graphs of valency k, 8≤k≤13. In: Algebraic, External and Metric Combinatorics 1986, London Math. Soc. Lect. Note Ser. 131, pp. 112 – 145, 1988.

    Chapter  Google Scholar 

  7. L.A. Kalužnin, V.I. Suschanskii, V.A. Ustimenko, Use of a computer in the theory of permutation groups and its applications,Kibernetika, 6 (1982), 83–94. [In Russian]

    Google Scholar 

  8. P. Terwilliger, Distance-regular graphs and generalizations. Thesis, Univ. of Illinois, Urbana, 1982.

    Google Scholar 

  9. V.A. Zaichenko, A.A. Ivanov, M.H. Klin, Construction and investigation of certain automorphic graphs,In Methods and programs for solution of optimisation problems on graphs and networks, pp. 48–50, Novosibirsk, 1982. [In Russian]

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Ivanov, A.V. (1994). On Some Local Characteristics of Distance-Transitive Graphs. In: Faradžev, I.A., Ivanov, A.A., Klin, M.H., Woldar, A.J. (eds) Investigations in Algebraic Theory of Combinatorial Objects. Mathematics and Its Applications, vol 84. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1972-8_11

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-1972-8_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4195-1

  • Online ISBN: 978-94-017-1972-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics