Skip to main content
SpringerLink
Log in

Solution of two classes of diophantine equations with 2-Quasiperiodic functions

  • Brief Communication
  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

A set of solutions for the equationsf(x)±f(y) =k is described, where fis a 2-quasiperiodic and strictly monotonous function in No. The results are applied for investigation of a diametrically-threshold function for graphs and of a maximal type of complete bipartite graph.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. J. Moon. “On the diameter of a graph” Michigan Math. J.,12, No. 3, 349–351 (1965).

    Article  MATH  Google Scholar 

  2. R. D. Ringeisen, “Determining all compact orientable 2-manifolds upon which Km.n has 2-cell imbeddings,” J. Combinatorial Theory,12. 101–104 (1972).

    Article  Google Scholar 

  3. G. Ringel, Mapcolor Theorem [Russian translation], Mir, Moscow (1977).

    Google Scholar 

  4. G. Chartrand and D. Mitcham, “The graphics theorems of Nordhaus-Gaddum class,” in: Graph theory. Coverings, Stacking, Tournaments [Russian translation], Mir, Moscow (1974), pp. 204–211.

    Google Scholar 

  5. O. G. Rudenskaya, “The upper estimate of the number of edges of a hypergraph with given diameter,” in: Graphs, Hypergraphs, and Discrete Optimization Problems. Math. Studies [in Russian], Shtiintsa, Kishinev (1982), pp. 141–147.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine

    O. G. Rudenskaya

Authors
  1. O. G. Rudenskaya
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 170–174, March–April, 2000

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rudenskaya, O.G. Solution of two classes of diophantine equations with 2-Quasiperiodic functions. Cybern Syst Anal 36, 299–302 (2000). https://doi.org/10.1007/BF02678679

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02678679

Keywords

Search

Navigation