Journal of Mathematical Sciences

, Volume 179, Issue 5, pp 626–633 | Cite as

Local structure of 7- and 8-connected graphs

  • S. A. Obraztsova
  • A. V. Pastor

We show that if graph on n vertices is minimally and contraction critically k-connected, then it has at least n/2 vertices of degree k for k = 7,8. Bibliography: 17 titles.


Russia Local Structure Mathematical Institute Steklov Mathematical Institute Singular Vertex 
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Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  1. 1.St. Petersburg Department of the Steklov Mathematical InstituteSt. PetersburgRussia

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