A self-stabilizing protocol for minimal weighted dominating sets in arbitrary networks

Wang, Guangyuan and Wang, Hua and Tao, Xiaohui and Zhang, Ji (2013) A self-stabilizing protocol for minimal weighted dominating sets in arbitrary networks. In: IEEE 17th International Conference on Computer Supported Cooperative Work in Design (CSCWD 2013), 27-29 Jun 2013, Whistler, BC. Canada.

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Abstract

A lot of self-stabilizing algorithms for computing dominating sets problem have been proposed in the literature due to many real-life applications. Most of the proposed algorithms either work for dominating sets with a uniform weight or find approximation solutions to weighted dominating sets. However, for non-uniform weighted dominating sets (WDS) problem, there is no self-stabilizing algorithm for the WDS. Furthermore, how to find the minimal weighted dominating set is a challenge. In this paper, we propose a self-stabilizing algorithm for the minimal weighted dominating set (MWDS) under a central daemon model when operating in any general network. We further prove that the worst case convergence time of the algorithm from any arbitrary initial state is O(n 2) steps where n is the number of nodes in the network.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 2013 IEEE. Published version deposited in accordance with the copyright policy of the publisher.
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 01 Oct 2013 02:20
Last Modified: 15 Sep 2014 01:41
Uncontrolled Keywords: central daemon; graph algorithm; minimal weighted dominating set; self-stabilizing algorithm
Fields of Research : 10 Technology > 1005 Communications Technologies > 100503 Computer Communications Networks
01 Mathematical Sciences > 0101 Pure Mathematics > 010107 Mathematical Logic, Set Theory, Lattices and Universal Algebra
01 Mathematical Sciences > 0101 Pure Mathematics > 010104 Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: 10.1109/CSCWD.2013.6581012
URI: http://eprints.usq.edu.au/id/eprint/24098

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