Advertisement

Journal of Mathematical Sciences

, Volume 134, Issue 5, pp 2354–2357 | Cite as

On the vertex connectivity of a relation in an association scheme

  • S. A. Evdokimov
  • I. N. Ponomarenko
Article
  • 18 Downloads

Abstract

We prove that for a sufficiently closed association scheme, the Brouwer conjecture on the coincidence of the vertex connectivity and the degree of any its connected basis relation is true. Bibliography: 7 titles.

Keywords

Basis Relation Association Scheme Vertex Connectivity Connected Basis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. E. Brouwer, “Spectrum and connectivity of graphs},” CWI Quarterly}, 9}, 37–40 (199Google Scholar
  2. 2.
    A. E. Brouwer and D. M. Mesner, “The connectivity of strongly regular graphs},” European J. Combin.}, 6}, 215–216 (198Google Scholar
  3. 3.
    S. Evdokimov and I. Ponomarenko, “Separability number and schurity number of coherent configurations},” Electron. J. Combin.}, 7}, #R31 (200Google Scholar
  4. 4.
    S. Evdokimov and I. Ponomarenko, “Characterization of cyclotomic schemes and normal Schur rings over a cyclic group},” Algebra Analiz}, 14}, 11–55 (200Google Scholar
  5. 5.
    S. Evdokimov, M. Karpinski, and I. Ponomarenko, “On a new high dimensional Weisfeiler-Leman algorithm},” J. Algebraic Combin.}, 10}, 29–45 (199Google Scholar
  6. 6.
    S. Evdokimov, I. Ponomarenko, and G. Tinhofer, “Forestal algebras and algebraic forests (on a new class of weakly compact graphs)},” Discrete Math.}, 225}, 149–172 (200Google Scholar
  7. 7.
    M. Watkins, “Connectivity of transitive graphs},” J. Combin. Theory}, 8}, 23–29 (197Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • S. A. Evdokimov
    • 1
  • I. N. Ponomarenko
    • 2
  1. 1.St.Petersburg Institute for Informatics and AutomationSt.PetersburgRussia
  2. 2.St.Petersburg Department of the Steklov Mathematical InstituteRussia

Personalised recommendations