DMTCS

2005 International Conference on Analysis of Algorithms

Conrado Martínez (ed.)

DMTCS Conference Volume AD (2005), pp. 287-296


author: Hadas Shachnai and Lisa Zhang
title: The master ring problem
keywords: Master ring, shortest common supersequence, optical networks, exact algorithms.
abstract: We consider the master ring problem (MRP) which often arises in optical network design. Given a network which consists of a collection of interconnected rings
R
1
,
,
R
K
, with
n
1
,
,
n
K
distinct nodes, respectively, we need to find an ordering of the nodes in the network that respects the ordering of every individual ring, if one exists. Our main result is an exact algorithm for MRP whose running time approaches
Q·∏
k=1
K
(n
k
/√
2
)
for some polynomial
Q
, as the
n
k
values become large. For the ring clearance problem, a special case of practical interest, our algorithm achieves this running time for rings of any size
n
k
≥2
. This yields the first nontrivial improvement, by factor of
(2√
2
)
K
≈ (2.82)
K
, over the running time of the naive algorithm, which exhaustively enumerates all
k=1
K
(2n
k
)
possible solutions.
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reference: Hadas Shachnai and Lisa Zhang (2005), The master ring problem, in 2005 International Conference on Analysis of Algorithms, Conrado Martínez (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AD, pp. 287-296
bibtex: For a corresponding BibTeX entry, please consider our BibTeX-file.
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