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Measure of Node Similarity in Multilayer Networks
Anders Mollgaard1, Ingo Zettler2, Jesper Dammeyer2
1University of Copenhagen, Niels Bohr Institute, 2100 Copenhagen, Denmark.
We developed a new method to measure node similarity in weighted networks. Strong social ties don't guarantee similar personalities, but socio-demographic factors show significant similarity across different communication layers.
Area of Science:
- Social Network Analysis
- Computational Social Science
- Network Science
Background:
- Link weights in networks often reflect node similarity.
- Analyzing node similarity across varying link weights requires robust measures.
- Understanding social homophily is crucial in social network analysis.
Purpose of the Study:
- Introduce a tunable measure for analyzing node similarity across different link weights.
- Apply this measure to study homophily in a freshman student population.
- Investigate the relationship between social connections, similarity, and network layers.
Main Methods:
- Developed a novel tunable measure for node similarity in weighted networks.
- Collected data from 659 university freshmen using smartphones and questionnaires.
- Constructed a weighted multilayer network from telecommunication and face-to-face contact data.
Main Results:
- No significant similarity in basic personality traits was found between strongly connected individuals.
- Socio-demographic variables exhibited significant similarity among connected individuals.
- Similarity varied across network layers; gender showed similarity at low weights and dis-similarity at high weights.
Conclusions:
- Node similarity is not solely determined by connection strength; link weight and network layer are critical.
- Socio-demographic factors play a more significant role in homophily than personality traits in this context.
- The developed measure effectively reveals nuanced patterns of similarity and dis-similarity within multilayer social networks.
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