# Temporal_Eigenvector_Centrality

**Repository Path**: HavenKey/Temporal_Eigenvector_Centrality

## Basic Information

- **Project Name**: Temporal_Eigenvector_Centrality
- **Description**: No description available
- **Primary Language**: Unknown
- **License**: GPL-3.0
- **Default Branch**: master
- **Homepage**: None
- **GVP Project**: No

## Statistics

- **Stars**: 0
- **Forks**: 0
- **Created**: 2021-12-13
- **Last Updated**: 2021-12-13

## Categories & Tags

**Categories**: Uncategorized

**Tags**: None

## README

# Temporal_Eigenvector_Centrality
This Matlab code includes scripts and a demo for computing eigenvector centralities for temporal networks. Please cite the following for any usage of this code:

D Taylor, SA Meyers, A Clauset, MA Porter and PJ Mucha (2017) "Eigenvector-based centrality measures for temporal networks" Multiscale Modeling and Simulation 15(1), 537-574. https://epubs.siam.org/doi/abs/10.1137/16M1066142

Also available at: https://arxiv.org/abs/1904.02059

Included files:

1. demo_MGP.m - the main script to run
2. PhD Exchange Network Data - folder containing network that encodes math PhD exchange between universities based on a study of the Mathematics Genealogy Project - https://genealogy.math.ndsu.nodak.edu/
3. build_network.m - converts an edge list into a sequence of adjacnecy matrices
4. reduce_to_GC.m - identifies giant component in layer-aggegated network and removes all nodes outside the GC
5. components.m - identifies the giant component for a given network
6. compute_w_centrality.m - computes the joint centralities for a supra-centrality matrix with given weights for inter-layer coupling 
7. compute_TA_centrality_and_FOM_scores.m - computes time-averaged centrality and first-order-mover scores
8. identify_top_centralities.m - creates a .txt listing the 10 nodes with top time-averaged centrality and first-order-mover scores
9. plot_results_for_Georgia_Tech.m - plots the joint-centrality trajectory and condition-centrality trajectory for Georgia Tech


If you have any questions about the code, please email Dane Taylor at danet@buffalo.edu.