Table 2.

The basic topological properties of the six social networks,including number of nodes n and edges m within the networks, average degree 〈k〉, characteristic path length L, clustering coefficient C, degree heterogeneity $H=\langle k^2\rangle /{\langle k\rangle }^2$, epidemic threshold ${\beta }_{th}\approx \langle k\rangle /\langle k^2\rangle$.

Network	n	m	〈k〉	L	C	H	βth
OClinks	1899	20296	21.375	3.197	0.085	3.773	0.012
Ego-Facebook	4039	88234	43.691	3.693	0.606	2.439	0.009
Soc-Epinions	75879	508837	6.706	11.549	0.138	16.569	0.009
Wiki-Vote	7115	103689	14.573	3.341	0.141	9.803	0.007
Ca-HepPh	12008	118521	19.74	4.673	0.612	28.21	0.002
Email-Enron	36692	183831	10.732	4.025	0.497	13.265	0.007
Ca-CondMat	23133	93497	8.0835	5.352	0.706	2.734	0.045
Ca-GrQc	5242	14496	5.531	6.049	0.687	3.049	0.059
Email-Eu-core	1005	25571	33.246	2.653	0.372	5.614	0.005