Glossary
- Graph or network:
-
A pair G = (V, E) constituted of a set of nodes V and a set of links E. We note n = |V| the number of nodes and m = |E| the number of links
- Community structure:
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Partition of the node set V into a set of λ distinct communities, i.e., \( \mathcal{C}=\left\{{C}_1,\dots, {C}_{\lambda}\right\} \), with \( V={\cup}_{i=1}^{\lambda}\;{C}_i \) and \( {\cap}_{i=1}^{\lambda}{C}_i=\not 0 \)
- Community:
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Roughly corresponds to a group of nodes more densely interconnected, relatively to the rest of the network. Formally, community number i is a subset of nodes: C i ⊂ V. We note n i the number of nodes in C i and m i the number of links between these nodes
- Attributed network:
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Network whose nodes are described by individual attributes, e.g., in a social network: age, gender, ethnicity, etc.
- Dynamic network:
-
Network whose structure and/or attributes evolve through time, represented...
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Recommended Reading
Labatut V, Balasque J-M (2012) Detection and interpretation of communities in complex networks: Practical methods and application. In: Computational Social Networks. Springer, London, pp 81-113. doi:10.1007/978-1-4471-4048-1_4
Lancichinetti MK, Saramaki J, Fortunato S (2010) Characterizing the community structure of complex networks. PLoS One 5(8):e11976. doi:10.1371/journal.pone. 0011976
Orman GK, Labatut V, Plantevit M, Boulicaut J-F (2015) Interpreting communities based on the evolution of a dynamic attributed network. Social Networks Analysis and Mining 5:20. doi:10.1007/s13278-015-0262-4
Palla G, Barabasi A-L, Vicsek T (2007) Quantifying social group evolution. Nature 446(7136):664-667. doi:10.1038/nature05670
Stattner E, Collard M (2013). Frequent conceptual links and link-based clustering: a comparative analysis of two clustering techniques. In: IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining, ACM, pp 134-141. doi:10.1145/2492517.2492548
Acknowledgments
This article is supported by the Galatasaray University Research Fund (BAP) within the scope of the project number 14.401.002, and titled “Sosyal Aglarda Küme Bulma ve Anlamlandirma: Zamana Bagli Sirali Örüntü Uygulamasi.”
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Labatut, V., Orman, G.K. (2017). Community Structure Characterization. In: Alhajj, R., Rokne, J. (eds) Encyclopedia of Social Network Analysis and Mining. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7163-9_110151-1
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