Abstract
Virtual Backbones (VBs) are expected to bring substantial benefits to routing in Wireless Sensor Networks (WSNs). Connected Dominating Sets (CDSs) based VBs are competitive approaches among the existing methods used to establish VBs in WSNs. Most existing works focus on constructing Minimum-sized CDSs (MCDSs). However, few works consider the load-balance factor. In this work, the size and the load-balance factor are both taken into account when constructing VBs in WSNs. Specifically, three problems are investigated in the paper, namely, the MinMax Degree Maximal Independent Set (MDMIS) problem, the Load-Balanced Virtual Backbone (LBVB) problem, and the MinMax Valid-Degree non Backbone node Allocation (MVBA) problem. We claim that MDMIS and LBVB are NP-Complete and MVBA is NP-Hard. Moveover, approximation algorithms and comprehensive theoretical analysis of the approximation factors are presented in the paper.
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He, J.(., Ji, S., Pan, Y., Cai, Z. (2012). Load-Balanced Virtual Backbone Construction for Wireless Sensor Networks. In: Lin, G. (eds) Combinatorial Optimization and Applications. COCOA 2012. Lecture Notes in Computer Science, vol 7402. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31770-5_1
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DOI: https://doi.org/10.1007/978-3-642-31770-5_1
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