English

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

Data Structures and Algorithms 2022-11-29 v1 Combinatorics

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.

Keywords

Cite

@article{arxiv.2211.14572,
  title  = {Identifying a 3-vertex strongly biconnected directed subgraph with minimum number of edges},
  author = {Azzam Habib},
  journal= {arXiv preprint arXiv:2211.14572},
  year   = {2022}
}