@article{Evans2009LineGO, title={Line graphs of weighted networks for overlapping communities}, author={Tim S. Evans and Renaud Lambiotte}, journal={The European Physical Journal B}, year={2009}, volume={77}, pages={265-272}, url={https://api.semanticscholar.org/CorpusID:119504507} }The idea to partition the edges of a weighted graph in order to uncover overlapping communities of its nodes is developed, based on the construction of different types of weighted line graphs, that encapsulate differently the relations between the edges.
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