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NETWORK DESIGN FOR MINIMUM SPANNING TREES UNDER HAMMING DISTANCE

Published online by Cambridge University Press:  26 April 2017

QIN WANG  and
LONGSHU WU
QIN WANG
Affiliation:
College of Sciences, China Jiliang University, Hangzhou, China email wls@cjlu.edu.cn
LONGSHU WU*
Affiliation:
College of Sciences, China Jiliang University, Hangzhou, China email wls@cjlu.edu.cn
*
✉wls@cjlu.edu.cn
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Abstract

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We consider a class of network-design problems with minimum sum of modification and network costs for minimum spanning trees under Hamming distance. By constructing three auxiliary networks, we present a strongly polynomial-time algorithm for this problem. The method can be applied to solve many network-design problems. And, we show that a variation model of this problem is NP-hard, even when the underlying network is a tree, by transforming the 0–1 knapsack problem to this model.

Keywords

network designspanning treeHamming distancepolynomial algorithmNP-hard

MSC classification

Primary: 90C27: Combinatorial optimization
Type
Research Article
Information
The ANZIAM Journal , Volume 58 , Issue 3-4 , April 2017 , pp. 342 - 349
Copyright
© 2017 Australian Mathematical Society 

References

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