Bipartivity


Definition

The contribution of node i to network bipartivity, β (i), can be obtained by using the subgraph centrality of node i:
Bipartivity
where (v1, v2, ..., vn) is an orthonormal basis of RN composed by eigenvectors of the adjacency matrix associated with the eigenvalues λ1, λ2, ..., λn, and vj(i) is the ith component of vj. Hence, β(i) is given by:
Bipartivity


Note: The values of β are confined to the interval [0.5, 1]. According to [ESTRADA, E. 2006], lethal proteins tend to have a low bipartivity score. Therefore you must adjust the value by setting it to 1 − β(i), such that lethal proteins potentially have a higher score.

Software

References

  • ESTRADA, E. & RODRÍGUEZ-VELÁZQUEZ, J. A. 2005. Spectral measures of bipartivity in complex networks. Physical Review E, 72, 046105. DOI: 10.1103/PhysRevE.72.046105 Publisher web site Endnote RIS file
  • ESTRADA, E. 2006. Protein Bipartivity and Essentiality in the Yeast Protein−Protein Interaction Network. Journal of Proteome Research, 5, 2177-2184. DOI: 10.1021/pr060106e Publisher web site Endnote RIS file