An introduction to spectral distances in networks

Authors:
Giuseppe Jurman;Roberto Visintainer;Cesare Furlanello
Affiliations:
Fondazione Bruno Kessler, Trento, Italy;Fondazione Bruno Kessler, Trento, Italy and DISI, University of Trento, Trento, Italy;Fondazione Bruno Kessler, Trento, Italy
Venue:
Proceedings of the 2011 conference on Neural Nets WIRN10: Proceedings of the 20th Italian Workshop on Neural Nets
Year:
2011

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An introduction to spectral distances in networks

Proceedings of the 2011 conference on Neural Nets WIRN10: Proceedings of the 20th Italian Workshop on Neural Nets

An introduction to spectral distances in networks

Proceedings of the 2011 conference on Neural Nets WIRN10: Proceedings of the 20th Italian Workshop on Neural Nets

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Abstract

Many functions have been recently defined to assess the similarity among networks as tools for quantitative comparison. They stem from very different frameworks-and they are tuned for dealing with different situations. Here we show an overview of the spectral distances, highlighting their behavior in some basic cases of static and dynamic synthetic and real networks. In particular, we show examples where spectral distances are more effective than classical methods in assessing network differences.