Synonyms
Glossary
- Adjacency Matrix:
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A characteristic matrix of a social network, typically denoted A. If the social network contains n persons, the adjacency matrix is a 0/1 n × n that contains 1 in the entries A ij that correspond to an edge {i, j} and 0 otherwise
- Eigenvalue Decomposition:
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A decomposition of a square matrix giving A = UAU T, in which U contains the eigenvectors of A and Λ contains the eigenvalues
- Singular Value Decomposition:
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A decomposition of any matrix giving A = U∑V T, in which ∑ contains the singular values of A
- Spectral Evolution Model:
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The model that states that over time, eigenvectors stay constant and eigenvalues change
- Spectrum:
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The set of eigenvalues or singular values of a matrix
Definition
The term spectral evolution describes a model of the evolution of network based on matrix decompositions. When applied to social networks, this model can be used to predict friendships, recommend friends, and implement other learning problems.
Introduction...
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Acknowledgments
We thank our collaborators on previous work: Christian Bauckhage, Damien Fay, and Andreas Lommatzsch. The author of this work has received funding from the European Community’s Seventh Frame Programme under grant agreement no 257859, ROBUST.
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Kunegis, J. (2017). Spectral Evolution of Social Networks. 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_125-1
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