Deleting Vertices from a 2-Connected Graph with Preserving 2-Connectedness


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Abstract

Let G be a 2-connected graph, and let W be a set of internal vertices of block parts of G that contains at least one vertex in each of these parts. It is proved that the graph G−W is 2-connected.

About the authors

D. V. Karpov

St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg State University

Author for correspondence.
Email: dvk0@yandex.ru
Russian Federation, St. Petersburg

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