Use of Centrality Metrics to Determine Connected Dominating Sets for Real-World Network Graphs

Author(s):  
Natarajan Meghanathan
Author(s):  
Natarajan Meghanathan ◽  
Md Atiqur Rahman ◽  
Mahzabin Akhter

The authors investigate the use of centrality metrics as node weights to determine connected dominating sets (CDS) for a suite of 60 real-world network graphs of diverse degree distribution. They employ centrality metrics that are neighborhood-based (degree centrality [DEG] and eigenvector centrality [EVC]), shortest path-based (betweenness centrality [BWC] and closeness centrality [CLC]) as well as the local clustering coefficient complement-based degree centrality metric (LCC'DC), which is a hybrid of the neighborhood and shortest path-based categories. The authors target for minimum CDS node size (number of nodes constituting the CDS). Though both the BWC and CLC are shortest path-based centrality metrics, they observe the BWC-based CDSs to be of the smallest node size for about 60% of the real-world networks and the CLC-based CDSs to be of the largest node size for more than 40% of the real-world networks. The authors observe the computationally light LCC'DC-based CDS node size to be the same as the computationally heavy BWC-based CDS node size for about 50% of the real-world networks.


Author(s):  
Natarajan Meghanathan

The author proposes the use of centrality-metrics to determine connected dominating sets (CDS) for complex network graphs. The author hypothesizes that nodes that are highly ranked by any of these four well-known centrality metrics (such as the degree centrality, eigenvector centrality, betweeness centrality and closeness centrality) are likely to be located in the core of the network and could be good candidates to be part of the CDS of the network. Moreover, the author aims for a minimum-sized CDS (fewer number of nodes forming the CDS and the core edges connecting the CDS nodes) while using these centrality metrics. The author discusses our approach/algorithm to determine each of these four centrality metrics and run them on six real-world network graphs (ranging from 34 to 332 nodes) representing various domains. The author observes the betweeness centrality-based CDS to be of the smallest size in five of the six networks and the closeness centrality-based CDS to be of the smallest size in the smallest of the six networks and incur the largest size for the remaining networks.


2009 ◽  
Vol 20 (2) ◽  
pp. 147-157 ◽  
Author(s):  
Donghyun Kim ◽  
Yiwei Wu ◽  
Yingshu Li ◽  
Feng Zou ◽  
Ding-Zhu Du

2010 ◽  
Vol 9 (8) ◽  
pp. 1108-1118 ◽  
Author(s):  
Donghyun Kim ◽  
Zhao Zhang ◽  
Xianyue Li ◽  
Wei Wang ◽  
Weili Wu ◽  
...  

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