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CCIS


Definition

This model is the combination of three important factors:

CCIS = (CNCC + CNMCC) × ISOECC

In this model, ISoECC acts as the main body, CNCC and CNMCC act as fine tuning.

Improved SoECC
The improved IECC defined as:
CCIS
In this model, all the definition of variables is similar with SoECC, while (Nv–Nu) presents the nodes set that are neighbors of vertex v, but not neighbors of vertex u. The improved sum of edge clustering coefficients of node u is noted as ISoECC, and is defined as follows:
CCIS


CNCC
A node’s CNCC value represents the increase of connected components in the whole network.

CNCC(u) = CC(u)−CC(0)

CC(i) is the number of connected components of the whole network when removing node u and all its connecting edges, and CC(0) represents the number of connected components of the original network.

CNMCC
A node’s CNMCC value represents decrement of nodes number in maximal connected component.

CNMCC(u) = MCC(0)−MCC(u)

MCC(0) represents the nodes number in maximal connected component of the original network, and MCC(i) is the nodes number in the rest maximal connected components when removal node u and all its connecting edges.

See SoECC - Sum of Edge Clustering Coefficient

Requirements

Software

References

  • SUN, H., LIANG, Y., CHEN, L., WANG, Y., DU, W. & SHI, X. 2013. An Improved Sum of Edge Clustering Coefficient Method for Essential Protein Identification. Journal of Bionanoscience, 7, 386-390. DOI: 10.1166/jbns.2013.1152 Publisher web site Endnote RIS file


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