Nothing Special   »   [go: up one dir, main page]

Skip to main content
Log in

Longest paths in digraphs

  • Published:
Combinatorica Aims and scope Submit manuscript

Abstract

In this paper, we give a sufficient condition on the degrees of the vertices of a digraph to insure the existence of a path of given length, and we characterize the extremal graphs.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. C. Berge, Graphs and hypergraphs, North Holland, Amsterdam, 1973.

    MATH  Google Scholar 

  2. J. C. Bermond, A. Germa, M. C. Heydemann andD. Sotteau, Chemins et circuits dans les graphes orientés, Proc. Coll. Montréal, 1979.Annals of Discrete Mathematics 8 (1980), 293–309.

    Article  MATH  MathSciNet  Google Scholar 

  3. J. C. Bermond, On hamiltonian walks, Proc. 5th British Combinatorial Conference, Aberdeen, 1975,Congressus Numerantium 15,Utilitas Math. Publ., 41–51.

  4. J. C. Bermond andC. Thomassen, Cycles in digraphs, a survey,J. Graph Theory,5 (1981), 1–43.

    MATH  MathSciNet  Google Scholar 

  5. A. Ghouila-Houri, Flots et tensions dans un graphe,Ann. Scien. Ec. Norm. Sup.,81 (1964), 317–327.

    MathSciNet  Google Scholar 

  6. M. C. Heydemann,Thesis, Université Paris-Sud.

  7. M. C. Heydemann, On cycles and paths in digraphs,Discrete Math. 31 (1980), 217–219.

    Article  MATH  MathSciNet  Google Scholar 

  8. B. Jackson, Long paths and cycles in oriented graphs,J. Graph. Theory,5 (1981), 145–157,

    MATH  MathSciNet  Google Scholar 

  9. M. Las Vergnas, Sur les arborescences dans un graphe orientéDiscrete Math. 15 (1976), 27–39.

    Article  MATH  MathSciNet  Google Scholar 

  10. C. Thomassen, Long cycles in digraphs,Proc. London Math. Soc. to appear.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bermond, J.C., Germa, A., Heydemann, M.C. et al. Longest paths in digraphs. Combinatorica 1, 337–341 (1981). https://doi.org/10.1007/BF02579454

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02579454

AMS subject classification (1980)

Navigation