A parallel algorithm for the degree-constrained minimum spanning tree problem using nearest-neighbor chains

The Minimum Spanning Tree (MST) problem with an added constraint that no node in the spanning tree has the degree more than a specified integer d, is known as the Degree-Constrained MST (d-MST) problem. Since computing the d-MST is NP-hard for every d in the range 2/spl les/d/spl les/(n-2) where n d...

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Bibliographic Details
Published in:Proceedings / International Symposium on Parallel Architectures, Algorithms, and Networks (ISPAN) pp. 184 - 189
Main Authors: Mao, Li-Jen, Deo, Narsingh, Lang, Sheau-Dong
Format: Conference Proceeding Journal Article
Language:English
Published: IEEE 1999
Subjects:
Additives
Approximation algorithms
Computer science
Nearest neighbor searches
NP-hard problem
Parallel algorithms
Polynomials
Silicon compounds
Traveling salesman problems
Tree graphs
ISBN:0769502318, 9780769502311
ISSN:1087-4089
Online Access:Get full text
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Summary:The Minimum Spanning Tree (MST) problem with an added constraint that no node in the spanning tree has the degree more than a specified integer d, is known as the Degree-Constrained MST (d-MST) problem. Since computing the d-MST is NP-hard for every d in the range 2/spl les/d/spl les/(n-2) where n denotes the total number of nodes, several approximate algorithms have been proposed in the literature. We have previously proposed two approximate algorithms, TC-RNN and IR, for the d-MST problem (L.J. Mao et al., 1997). Our experimental results show that while the IR algorithm is faster, the TC-RNN algorithm consistently produces spanning trees with a smaller weight. We propose a new algorithm, TC-NNC, which is an improved version of TC-RNN. Our experiments using randomly generated, weighted graphs as input, demonstrate that the execution time of TC-NNC is smaller than that of TC-RNN, and is very close to that of IR. Further, the quality-of-solution of TC-NNC is better than that of IR and is very close to that of TC-RNN.
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ISBN:0769502318
9780769502311
ISSN:1087-4089
DOI:10.1109/ISPAN.1999.778937