Background
Graph theory has been widely applied to the studies in biomedicine such as structural measures including betweenness centrality. However, if the network size is too large, the result of betweenness centrality would be difficult to obtain in a reasonable amount of time.
Result
In this paper, we describe an approach, 1+ɛ lossy graph reduction algorithm, to computing betweenness centrality on large graphs. The approach is able to guarantee a bounded approximation result. We use GSE48216, a breast cancer cell line co-expression network, to show that our algorithms can achieve a higher reduction rate with a trade-off of some bounded errors in query results. Furthermore, by comparing the betweenness centrality of the original graph and the reduced graph, it can be shown that a higher reduction rate does not sacrifice the accuracy of betweenness centrality when providing faster execution time.
Conclusions
Our proposed 1+ɛ lossy graph reduction algorithm is validated by the experiment results which show that the approach achieves a faster execution within a bounded error rate.

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The full text of this article is available to read as a PDF.
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Posted 11 Nov, 2020
Received 02 Dec, 2020
On 02 Dec, 2020
Received 23 Nov, 2020
Received 22 Nov, 2020
Received 19 Nov, 2020
On 18 Nov, 2020
On 18 Nov, 2020
On 18 Nov, 2020
On 18 Nov, 2020
Received 18 Nov, 2020
Received 18 Nov, 2020
On 17 Nov, 2020
On 15 Nov, 2020
On 15 Nov, 2020
On 15 Nov, 2020
On 15 Nov, 2020
On 15 Nov, 2020
Invitations sent on 15 Nov, 2020
On 15 Nov, 2020
On 11 Nov, 2020
On 09 Nov, 2020
On 08 Nov, 2020
Posted 11 Nov, 2020
Received 02 Dec, 2020
On 02 Dec, 2020
Received 23 Nov, 2020
Received 22 Nov, 2020
Received 19 Nov, 2020
On 18 Nov, 2020
On 18 Nov, 2020
On 18 Nov, 2020
On 18 Nov, 2020
Received 18 Nov, 2020
Received 18 Nov, 2020
On 17 Nov, 2020
On 15 Nov, 2020
On 15 Nov, 2020
On 15 Nov, 2020
On 15 Nov, 2020
On 15 Nov, 2020
Invitations sent on 15 Nov, 2020
On 15 Nov, 2020
On 11 Nov, 2020
On 09 Nov, 2020
On 08 Nov, 2020
Background
Graph theory has been widely applied to the studies in biomedicine such as structural measures including betweenness centrality. However, if the network size is too large, the result of betweenness centrality would be difficult to obtain in a reasonable amount of time.
Result
In this paper, we describe an approach, 1+ɛ lossy graph reduction algorithm, to computing betweenness centrality on large graphs. The approach is able to guarantee a bounded approximation result. We use GSE48216, a breast cancer cell line co-expression network, to show that our algorithms can achieve a higher reduction rate with a trade-off of some bounded errors in query results. Furthermore, by comparing the betweenness centrality of the original graph and the reduced graph, it can be shown that a higher reduction rate does not sacrifice the accuracy of betweenness centrality when providing faster execution time.
Conclusions
Our proposed 1+ɛ lossy graph reduction algorithm is validated by the experiment results which show that the approach achieves a faster execution within a bounded error rate.

Figure 1

Figure 2

Figure 3

Figure 4
The full text of this article is available to read as a PDF.
Loading...