Table 3 Numerical magnitudes of R and H_C for the three types of k-uniform hyper-networks at different N.

		N = 100	N = 500	N = 700	N = 1000
ER_hyper-network
k = 3	R	13.482	5.477	4.5463	4.413
k = 3	H_C	0.1143	0.2167	0.2296	0.2398
k = 4	R	14.6651	6.2192	6.0182	5.8242
k = 4	H_C	0.1482	0.4637	0.6483	0.8756
k = 5	R	14.4849	5.4539	5.3025	4.2277
k = 5	H_C	0.2056	0.7998	1.0787	1.1058
NW_hyper-network
k = 3	R	20.625	29.971	34.814	36.235
k = 3	H_C	0.9593	0.8144	0.7878	0.6904
k = 5	R	10.0984	13.142	13.6896	14.9198
k = 5	H_C	0.5603	0.517	0.4921	0.4855
k = 7	R	5.9754	7.2791	7.3702	7.7857
k = 7	H_C	0.9931	0.6186	0.5095	0.5056
BA_hyper-network
k = 3	R	81.999	250.642	315.508	418.237
k = 3	H_C	0.619	0.457	0.391	0.3148
k = 4	R	75.1547	248.8911	322.4018	413.3311
k = 4	H_C	0.4098	0.1482	0.1245	0.1007
k = 5	R	69.1208	245.5323	314.8336	407.5843
k = 5	H_C	0.5477	0.1942	0.1575	0.1224

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