Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content

Note on eccentricities in tournaments

  • Published:
Graphs and Combinatorics Aims and scope Submit manuscript

Abstract

An (n - l)-tuple (b 1...,b n-i ) of nonnegative integers isb-realizable if there exists a tournamentT withn vertices such that for each k,1 ≤k ≤inn] ise-realizable if there exists a tournamentT with vertex setV(T) = {v 1,…v n } such thate i is the eccentricity of vi. In this note we characterizeb-realizable vectors ande-realizable sequences.

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. Behzad, M., Simpson, J.E.: Eccentric sequences and eccentric sets in graphs, Discrete Math.16, 187–193 (1976)

    Article  MATH  MathSciNet  Google Scholar 

  2. Harary, F., Norman, R.Z., Cartwright, D.: Structural Models: An Introduction to the Theory of Directed Graphs. John Wiley & Sons, Inc., New York (1965)

    MATH  Google Scholar 

  3. Landau, H.G.: On dominance relations and the structure of animal societies, Bull. Math. Biophysics15, 114–148 (1953)

    Google Scholar 

  4. Lesniak, L.: Eccentric sequences in graphs, Period. Math. Hungar.6 (4), 287–293 (1975)

    Article  MATH  MathSciNet  Google Scholar 

  5. Moon, J.W.: Topics in Tournaments. New York, Holt, Rinehart, Winston (1968)

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Harminc, M., Ivančo, J. Note on eccentricities in tournaments. Graphs and Combinatorics 10, 231–234 (1994). https://doi.org/10.1007/BF02986670

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02986670

Keywords