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Reducing the Height of Independent Spanning Trees in Chordal Rings.
- Source :
-
IEEE Transactions on Parallel & Distributed Systems . May2007, Vol. 18 Issue 5, p644-657. 14p. 4 Black and White Photographs, 10 Charts. - Publication Year :
- 2007
-
Abstract
- This paper is concerned with a particular family of regular 4-connected graphs, called chordal rings. Chordal rings are a variation of ring networks. By adding two extra links (or chords) at each vertex in a ring network, the reliability and fault-tolerance of the network are enhanced. Two spanning trees on a graph are said to be independent if they are rooted at the same vertex, say, r, and for each vertex v ≠ r, the two paths from r to v, one path in each tree, are internally disjoint. A set of spanning trees on a given graph is said to be independent if they are pairwise independent. Iwasaki et al. [9] proposed a linear time algorithm for finding four independent spanning trees on a chordal ring. In this paper, we give a new linear time algorithm to generate four independent spanning trees with a reduced height in each tree. Moreover, a complete analysis of our improvements on the heights of independent spanning trees is also provided. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10459219
- Volume :
- 18
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Parallel & Distributed Systems
- Publication Type :
- Academic Journal
- Accession number :
- 24976243
- Full Text :
- https://doi.org/10.1109/TPDS.2007.351709