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Journal of Mathematical Sciences

, Volume 236, Issue 5, pp 490–502 | Cite as

Decomposition of a 2-Connected Graph into Three Connected Subgraphs

  • D. V. Karpov
Article
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Let n1+n2+n3 = n, and let G be a 2-connected graph on n vertices such that any 2-vertex cutset of G splits it into at most three parts. We prove that there exists a decomposition of the vertex set of G into three disjoint subsets V1, V2, V3 such that |Vi| = ni and the induced subgraph G(Vi) is connected for every i.

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.St. Petersburg Department of Steklov Institute of Mathematics and St. Petersburg State UniversitySt. PetersburgRussia

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