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Discovery Projects - Grant ID: DP130100437

Title
Discovery Projects - Grant ID: DP130100437
Funding
ARC | Discovery Projects
Contract (GA) number
DP130100437
Start Date
2013/01/01
End Date
2015/12/31
Open Access mandate
no
Organizations
-
More information
http://purl.org/au-research/grants/arc/DP130100437

 

  • Eigenvector dynamics under perturbation of modular networks

    Sarkar, Somwrita; Chawla, Sanjay; Robinson, Peter A.; Fortunato, Santo (2015)
    Projects: ARC | ARC Centres of Excellences - Grant ID: CE140100007 (CE140100007), ARC | Discovery Projects - Grant ID: DP130100437 (DP130100437)
    Rotation dynamics of eigenvectors of modular network adjacency matrices under random perturbations are presented. In the presence of $q$ communities, the number of eigenvectors corresponding to the $q$ largest eigenvalues form a "community" eigenspace and rotate together, but separately from that of the "bulk" eigenspace spanned by all the other eigenvectors. Using this property, the number of modules or clusters in a network can be estimated in an algorithm-independent way. A general argumen...
  • No project research data found
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