Abstract
Broadcast is an essential operation for disseminating messages in multihop wireless networks. Unfortunately, the problem of Minimum Transmission Broadcast (MTB) in duty-cycled scenarios is not well studied. Existing works always have rigid assumption that each node is only active once per working cycle. Aiming at making the work more practical and general, MTB problem in duty-cycled network where each node is allowed to active multiple times in each working cycle (MTBDCA) is investigated in this paper. Firstly, the MTBDCA problem is proved to be NP-hard and unlikely to have an \((1-o(1))ln \varDelta \)-approximation algorithm, where \(\varDelta \) denotes the maximum node degree. A novel covering problem is proposed based on an auxiliary graph, which is constructed to integrating the transmitting time slots into the network. Then, a \(ln(\varDelta +1)\)-approximation algorithm is proposed for MTBDCA. Finally, the theoretical analysis and experimental results verify the efficiency of the proposed algorithm.
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Acknowledgement
This work is partly supported by the National Science Foundation (NSF) under grant NOs. 1252292, 1741277 and 1704287, the National Natural Science Foundation of China (NSFC) under Grant NOs. 61632010, 61502116, 61502110 and the major PSTP of Guangdong 2015B010104005 and 2017A010101017.
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Chen, Q., Le, T., Cheng, L., Cai, Z., Gao, H. (2018). Approximate Minimum-Transmission Broadcasting in Duty-Cycled WSNs. In: Chellappan, S., Cheng, W., Li, W. (eds) Wireless Algorithms, Systems, and Applications. WASA 2018. Lecture Notes in Computer Science(), vol 10874. Springer, Cham. https://doi.org/10.1007/978-3-319-94268-1_4
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