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An efficient distributed algorithm for finding all hinge vertices in networks.
- Source :
- International Journal of Computer Mathematics; Jul2005, Vol. 82 Issue 7, p821-825, 7p
- Publication Year :
- 2005
-
Abstract
- Let G =( V , E ) be a graph with vertex set V of size n and edge set E of size m . A vertex v ? V is called a hinge vertex if there exist two vertices in V \{ v } such that their distance becomes longer when v is removed. In this paper, we present a distributed algorithm that finds all hinge vertices on an arbitrary graph. The proposed algorithm works for named static asynchronous networks and achieves O ( n 2 ) time complexity and O ( m ) message complexity. In particular, the total messages exchanged during the algorithm are at most 2 m (log n + n log n +1) bits. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207160
- Volume :
- 82
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- International Journal of Computer Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 17523010
- Full Text :
- https://doi.org/10.1080/00207160412331336008