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 \({CLC}_{actural} \ge {CLC}_{random}\).

From: Enhanced complex network influential node detection through the integration of entropy and degree metrics with node distance

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