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Minimum Matching Dominating Sets and its Applications in Wireless Networks

by C.D.Guruprakash, Dr. B.P.Mallikarjunaswamy
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 30 - Number 3
Year of Publication: 2011
Authors: C.D.Guruprakash, Dr. B.P.Mallikarjunaswamy
10.5120/3623-5059

C.D.Guruprakash, Dr. B.P.Mallikarjunaswamy . Minimum Matching Dominating Sets and its Applications in Wireless Networks. International Journal of Computer Applications. 30, 3 ( September 2011), 23-27. DOI=10.5120/3623-5059

@article{ 10.5120/3623-5059,
author = { C.D.Guruprakash, Dr. B.P.Mallikarjunaswamy },
title = { Minimum Matching Dominating Sets and its Applications in Wireless Networks },
journal = { International Journal of Computer Applications },
issue_date = { September 2011 },
volume = { 30 },
number = { 3 },
month = { September },
year = { 2011 },
issn = { 0975-8887 },
pages = { 23-27 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume30/number3/3623-5059/ },
doi = { 10.5120/3623-5059 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:15:58.019548+05:30
%A C.D.Guruprakash
%A Dr. B.P.Mallikarjunaswamy
%T Minimum Matching Dominating Sets and its Applications in Wireless Networks
%J International Journal of Computer Applications
%@ 0975-8887
%V 30
%N 3
%P 23-27
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

For wireless ad hoc network no fixed infrastructure or centralized management, a Minimum Matching Dominating Set (MMDS) has been proposed as the virtual backbone. The MMDS of a graph representing a network has a significant impact on an efficient design of routing protocols in wireless networks. This problem has been studied extensively in Unit Disk Graphs (UDG), in which each node has the same transmission range. However, in practice, the transmission ranges of all nodes are not necessary equal. In this paper, we model a network as a disk graph and introduce the MMDS problem in disk graphs. We present three constant approximations algorithms to obtain a minimum MMDS of a given network. These algorithms can be implemented as distributed algorithms. Furthermore, we show the size relationship between a maximal independent set and a MMDS as well as the bound of the maximum number of independent neighbors of a node in disk graphs. The theoretical analysis and simulation results are also presented to verify our approaches.

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Index Terms

Computer Science
Information Sciences

Keywords

Connected Dominating Set Independent Set Minimum Matching dominating sets Unit Disk Graph Wireless Network Virtual Backbone

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