Identifying a 3-vertex strongly biconnected directed subgraph with minimum number of edges

November 26, 2022 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Azzam Habib arXiv ID 2211.14572 Category cs.DS: Data Structures & Algorithms Cross-listed math.CO Citations 0 Venue arXiv.org Last Checked 5 months ago
Abstract
A strongly connected graph is strongly biconnected if after ignoring the direction of its edges we have an undirected graph with no articulation points. A 3-vertex strongly biconnected graph is a strongly biconnected digraph that has the property that deleting any two vertices in this graph leaves a strongly binconnected subgraph. Jaberi [11] presented approximation algorithms for minimum cardinality 2-vertex strongly biconnected directed subgraph problem. We will focus in this paper on polynomial time algorithms which we have implemented for producing spanning subgraphs that are 3-vertex strongly biconnected.
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