A rooted tree is called a single-branch tree if there. is exactly one nonleaf vertex on each level except the bottom level of the tree. We present an O(n) time algorithm for finding biconnected components in a graph G, assuming that a single-branch breadth-first search (SBS) tree of any connected in
A Stabilizing Algorithm for Finding Biconnected Components
โ Scribed by Mehmet Hakan Karaata
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 209 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0743-7315
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โฆ Synopsis
In this paper, a self-stabilizing algorithm is presented for finding biconnected components of a connected undirected graph on a distributed or network model of computation. The algorithm is resilient to transient faults, therefore, it does not require initialization. The proposed algorithm is based on stabilizing BFS construction and bridge-finding algorithms. Upon termination of these algorithms, the proposed algorithm terminates after Oรฐdร rounds, where d is the diameter of the biconnected component with the largest diameter in the graph. The paper concludes with remarks on issues such as the adaptiveness of the algorithm.
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