University Graph Analysis University Projects #Data Science#Mathematics
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Overview
Mathematical and visual analysis of a directed graph representing friendship relationships between 81 members of a UK university faculty. The analysis explores graph structure through centrality measures, community detection, and degree distribution.
Key Concepts
- Visualized the graph using force-directed layout with color-coded groups
- Calculated center nodes (61 nodes with eccentricity of 3)
- Computed betweenness centrality to find nodes in most shortest paths
- Analyzed closeness centrality to identify well-connected members
- Examined periphery nodes (20 nodes with max eccentricity)
- Investigated degree distribution and graph density
Technologies
R, Graph Theory, Network Analysis, Data Visualization