Versatility of nodal affiliation to communities

@article{Shinn2017VersatilityON,
  title={Versatility of nodal affiliation to communities},
  author={Maxwell Shinn and Rafael Romero-Garc{\'i}a and Jakob Seidlitz and Franti{\vs}ek V{\'a}{\vs}a and Petra E. V{\'e}rtes and Edward T. Bullmore},
  journal={Scientific Reports},
  year={2017},
  volume={7}
}
Graph theoretical analysis of the community structure of networks attempts to identify the communities (or modules) to which each node affiliates. However, this is in most cases an ill-posed problem, as the affiliation of a node to a single community is often ambiguous. Previous solutions have attempted to identify all of the communities to which each node affiliates. Instead of taking this approach, we introduce versatility, V, as a novel metric of nodal affiliation: V ≈ 0 means that a node is… 

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