• DOI:10.1109/TNSE.2017.2753963
Corpus ID: 8417052

Isomorphisms in Multilayer Networks

@article{Kivel2018IsomorphismsIM,
  title={Isomorphisms in Multilayer Networks},
  author={Mikko Kivel{\"a} and M. Porter},
  journal={IEEE Transactions on Network Science and Engineering},
  year={2018},
  volume={5},
  pages={198-211}
}

Mikko Kivelä, M. Porter

Published 2018

Computer Science, Physics, Mathematics

IEEE Transactions on Network Science and Engineering

We extend the concept of graph isomorphisms to multilayer networks with any number of “aspects” (i.e., types of layering). In developing this generalization, we identify multiple types of isomorphisms. For example, in multilayer networks with a single aspect, permuting vertex labels, layer labels, and both vertex labels and layer labels each yield different isomorphism relations between multilayer networks. Multilayer network isomorphisms lead naturally to defining isomorphisms in any of the… CONTINUE READING

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