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An exact algorithm for minimum CDS with shortest path constraint in wireless networks

Authors
Ding, LingGao, XiaofengWu, WeiliLee, WonjunZhu, XuDu, Ding-Zhu
Issue Date
May-2011
Publisher
SPRINGER HEIDELBERG
Keywords
CDS; Shortest path; Exact algorithm
Citation
OPTIMIZATION LETTERS, v.5, no.2, pp 297 - 306
Pages
10
Indexed
SCIE
SCOPUS
Journal Title
OPTIMIZATION LETTERS
Volume
5
Number
2
Start Page
297
End Page
306
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/112535
DOI
10.1007/s11590-010-0208-8
ISSN
1862-4472
1862-4480
Abstract
In this paper, we study a minimum connected dominating set problem (CDS) in wireless networks, which selects a minimum CDS with property that all intermediate nodes inside every pairwise shortest path should be included. Such a minimum CDS (we name this problem as SPCDS) is an important tache of some other algorithms for constructing a minimum CDS. We prove that finding such a minimum SPCDS can be achieved in polynomial time and design an exact algorithm with time complexity O(delta (2) n), where delta is the maximum node degree in communication graph.
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