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arXiv · 2606.16087

Problems related to strong connectivity and strong biconnectivity

Raed Jaberi
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Abstract

Let $G=(V,E)$ be a strong biconnected graph and let $B \subseteq V$ such that for each vertex $w \in B$, the subgraph $G \setminus \lbrace w\rbrace$ is strongly connected. In this paper we study the problem of computing a subset $E_{\beta} \subseteq E$ of minimum size such that the subgraph $G_{\beta}=(V,E_{\beta})$ is strongly biconnected and for each vertex $w \in B$, the subgraph $G_{\beta} \setminus \lbrace w\rbrace$ is strongly connected. We prove that there exists a polynomial time $7$-approximation algorithm for this problem.

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Raed Jaberi. 2026-06-15. Problems related to strong connectivity and strong biconnectivity. https://arxiv.org/abs/2606.16087

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