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Cyworld : Basic Analyses. 안용열 2005-05-11. A Flaw in the data. Some links are directed. Some nodes’ k out is different from k in . 4429 nodes Average(|kout – kin|) ~ 1.2 Relation change while the backup?. Basic Numbers. The number of nodes: 9,949,770
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Cyworld : Basic Analyses 안용열 2005-05-11
A Flaw in the data • Some links are directed. • Some nodes’ kout is different from kin. • 4429 nodes • Average(|kout – kin|) ~ 1.2 • Relation change while the backup?
Basic Numbers • The number of nodes: 9,949,770 • The number of links: 272,747,252/2 = 136,373,626 (-2000) • The average degree: 27.4
Cluster Size Distribution • Are we dealing with a single cluster? • One largest cluster and small clusters (<70).
Degree Distribution • It doesn’t follows a power-law. • Transition at about few hundreds. ?
Clustering • Clustering coefficient measures the probability that a person’s friends know each others. • Clustering coefficient: 0.16 (일촌평 network: 0.32) • Clustering coefficient is defined for every node. • Hierarchical network shows negative correlation (~-1) between degree and clustering coefficient.
Clustering Distribution • Transition at ~few hundred.
Degree-Degree Correlation • Assortative? • “Birds of a feather flock together.” • Nodes with (large degree – large degree) or (large degree – small degree)? • Most networks shows dissortative mixing. But social networks exhibit assortative mixing.
Degree-Degree Correlation • In global scale – dissortative mixing. • Complex structures within.
Estimating Average Distance • Same method with 일촌평 data. • Pick a node randomly • Get the number of first & second neighbors of the node. • Extrapolate it.