Abstract
In this paper, we propose two efficient parallel algorithms for constructing a k-tree center and a k-tree core of a tree network, respectively. Both algorithms take O(log n) time using O(n) work on the EREW PRAM. Our algorithms improve the algorithms previously proposed by Wang (IEEE Trans. Par. Dist. Sys. 1998) and Peng et al. (J. Algorithms 1993).
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Wang, Y., Wang, D., Liu, W., Tian, B. (2005). Efficient Parallel Algorithms for Constructing a k-Tree Center and a k-Tree Core of a Tree Network. In: Deng, X., Du, DZ. (eds) Algorithms and Computation. ISAAC 2005. Lecture Notes in Computer Science, vol 3827. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11602613_56
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DOI: https://doi.org/10.1007/11602613_56
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-30935-2
Online ISBN: 978-3-540-32426-3
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