Table 3 Small-world Property Analysis includes the path length (L) and CLC of the six real-world networks are compared against those of random graphs having the same number of nodes and average degree per node40. The small-world phenomenon holds when \(L_{actual} \ge L_{random}\) and \({CLC}_{actural} \ge {CLC}_{random}\).
Network | \({{\varvec{L_{actual}}}}\) | \({{\varvec{L_{random}}}}\) | \({{\varvec{{CLC}_{actual}}}}\) | \({{\varvec{{CLC}_{random}}}}\) | Small-world network Property |
|---|---|---|---|---|---|
soc-wiki-vote | 4.096 | 3.825 | 0.152 | 0.006 | holds |
jazz | 2.235 | 1.876 | 0.617 | 0.138 | holds |
fb-pages-food | 5.088 | 3.573 | 0.330 | 0.010 | holds |
fb-pages-politician | 4.664 | 3.579 | 0.385 | 0.002 | holds |
Conference | 1.497 | 1.493 | 0.686 | 0.507 | holds |
Contacts in a Workplace-1 | 1.964 | 1.865 | 0.426 | 0.175 | holds |