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HyperharmonicCentrality

The repository for our ESMI 2020 Research on calculating Harmonic Centrality on Higher Order Sets

Summary

In this project contains methods for converting data files containing hypergraphs into cliques and then transforming the cliques into their adjacency matrix representation. We then model several different networks with their centralization visualized. Finally, we run a couple of statistic calculations to analyze the network's different type of centrality measures.

Visuals

Graphical Results on the Enron Email Dataset are as follows:

Unweighted Harmonic Centrality Visualization (UnWeighted) Harmonic Centrality

Weighted Harmonic Centrality Visualization (Weighted) Harmonic Centrality

Unweighted Closeness Centrality Visualization (UnWeighted) Closeness Centrality

Statistics

Analysis Summary on the Enron Email Dataset:

  • Nodes, Edges, and Hyperedges

    • Nodes - 143
    • Edges - 1800
    • Hyperedges - 10551
  • Euclidean Normalization (0-2 scale)

    • Unweighted and Weighted Harmonic Centrality - 0.99899
    • Unweighted Harmonic Centrality and Unweighted Closeness Centrality - 0.1869

Spearman Correlation Coefficient on Unweighted and Weighted Harmonic Rankings SpearmanCorrCoeff

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The repository for our ESMI 2020 Research on calculating Harmonic Centraility on Higher Order Sets

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