Decomposition of a 2-Connected Graph into Three Connected Subgraphs

被引：0

作者：

Karpov D.V. ^{[1
]}

机构：

[1] St. Petersburg Department of Steklov Institute of Mathematics and St. Petersburg State University, St. Petersburg

来源：

Journal of Mathematical Sciences | 2019年 / 236卷 / 5期

关键词：

D O I：

10.1007/s10958-018-4127-z

中图分类号：

学科分类号：

摘要：

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

引用

页码：490 / 502

页数：12

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