# 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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## References

SHOWING 1-10 OF 35 REFERENCES

### Finding community structure in networks using the eigenvectors of matrices.

- Computer SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2006

A modularity matrix plays a role in community detection similar to that played by the graph Laplacian in graph partitioning calculations, and a spectral measure of bipartite structure in networks and a centrality measure that identifies vertices that occupy central positions within the communities to which they belong are proposed.

### Finding and evaluating community structure in networks.

- Computer SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2004

It is demonstrated that the algorithms proposed are highly effective at discovering community structure in both computer-generated and real-world network data, and can be used to shed light on the sometimes dauntingly complex structure of networked systems.

### Consensus clustering in complex networks

- Computer ScienceScientific reports
- 2012

It is shown that consensus clustering can be combined with any existing method in a self-consistent way, enhancing considerably both the stability and the accuracy of the resulting partitions.

### Robust Detection of Dynamic Community Structure in Networks

- Computer ScienceChaos
- 2013

This work considers the use of statistical null models for facilitating the principled identification of structural modules in semi-decomposable systems and develops a method to construct representative partitions that uses a null model to correct for statistical noise in sets of partitions.

### Higher-order organization of complex networks

- Computer ScienceScience
- 2016

A generalized framework for clustering networks on the basis of higher-order connectivity patterns provides mathematical guarantees on the optimality of obtained clusters and scales to networks with billions of edges.

### Equivalence between modularity optimization and maximum likelihood methods for community detection.

- MathematicsPhysical review. E
- 2016

An exact equivalence is shown between maximization of the generalized modularity that includes a resolution parameter and the special case of the block model known as the planted partition model, in which all communities in a network are assumed to have statistically similar properties.

### Statistical mechanics of community detection.

- Computer SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2006

The properties of the ground state configuration are elucidated to give a concise definition of communities as cohesive subgroups in networks that is adaptive to the specific class of network under study.

### Motif-based communities in complex networks

- Computer Science
- 2008

It is shown how motifs can be used to define general classes of nodes, including communities, by extending the mathematical expression of Newman–Girvan modularity by constructing a general framework and applying it to some synthetic and real networks.

### Fast unfolding of communities in large networks

- Computer Science
- 2008

This work proposes a heuristic method that is shown to outperform all other known community detection methods in terms of computation time and the quality of the communities detected is very good, as measured by the so-called modularity.

### Functional cartography of complex metabolic networks

- Computer ScienceNature
- 2005

A methodology is proposed that can find functional modules in complex networks, and classify nodes into universal roles according to their pattern of intra- and inter-module connections, which yields a ‘cartographic representation’ of complex networks.