Journal of Mathematical Sciences

, Volume 212, Issue 6, pp 698–707 | Cite as

On the Structure of C 3-Critical Minimal 6-Connected Graphs


In this paper, C 3 -critical minimal 6-connected graphs are studied; they are defined as 6-connected graphs, any subgraph of which obtained by edge deletion is not 6-connected and in which any clique on at most 3 vertices is contained in a 6-cutset. It is proved that more than \( \frac{5}{9} \) of all vertices of such a graph have degree 6. Bibliography: 18 titles.


Standard Notation Adjacent Vertex Critical Graph Pendant Vertex Edge Deletion 
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.


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© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.St. Petersburg Department of the Steklov Mathematical InstituteSt. Petersburg State Polytechnic UniversitySt. PetersburgRussia

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