Table 8 Re-creation of empirical networks from Table 7.

From: Priority Attachment: a Comprehensive Mechanism for Generating Networks

Network	p _D	p _B	p _C	\|V\|	\|E\|	d	ρ	L	r	\({{\boldsymbol{\rho }}}_{{{\boldsymbol{C}}}_{{\boldsymbol{D}}}}^{{\bf{2}}}\)	Network/Closest function
american bisons	0.23	0.27	0.67	26	313	4	0.46	1.57	0.59	0.31	original network
american bisons	0.23	0.27	0.67	26	313	3	0.44	1.59	0.42	0.19	random distance
bighorn sheep	0.33	0.68	0.17	28	250	5	0.32	1.90	0.12	0.16	original network
bighorn sheep	0.33	0.68	0.17	28	250	4	0.34	1.86	0.31	0.31	page rank distance
C. elegans	0.35	0.35	0.00	279	2993	7	0.04	2.88	0.47	0.21	original network
C. elegans	0.35	0.35	0.00	279	2993	7	0.04	2.83	0.04	0.13	closeness distance
mouse visual cortex	0.95	0.95	0.00	29	44	2	0.05	1.08	0.00	0.11	original network
mouse visual cortex	0.95	0.95	0.00	29	44	4	0.06	1.76	0.12	0.18	page rank distance
enzyme 108	0.05	0.54	0.24	38	164	15	0.22	5.85	1.00	0.10	original network
enzyme 108	0.05	0.54	0.24	38	164	14	0.26	5.39	0.58	0.06	euclidean distance
cage5	0.77	0.89	0.00	72	940	6	0.18	2.22	0.56	0.31	original network
cage5	0.77	0.89	0.00	72	940	7	0.18	2.10	0.23	0.40	degree distance
political books	0.31	0.73	0.00	105	441	8	0.04	2.92	0.00	0.08	original network
political books	0.31	0.73	0.00	105	441	7	0.04	3.00	0.14	0.12	euclidean distance
primary school	0.81	0.00	0.00	242	8317	4	0.29	1.77	0.00	0.14	original network
primary school	0.81	0.00	0.00	242	8317	4	0.30	2.03	0.30	0.22	euclidean distance
vickers 7th graders	0.78	0.78	0.37	29	376	3	0.45	1.60	0.67	0.32	original network
vickers 7th graders	0.78	0.78	0.37	29	376	3	0.48	1.59	0.42	0.32	closeness distance
freeman researchers	0.83	0.09	0.96	32	460	3	0.45	1.56	0.79	0.55	original network
freeman researchers	0.83	0.09	0.96	32	460	3	0.45	1.58	0.51	0.52	betweenness distance
terrorists	0.68	0.82	0.00	62	304	5	0.16	2.95	1.00	0.28	original network
terrorists	0.68	0.82	0.00	62	304	8	0.14	2.84	0.07	0.28	degree distance
karate club	0.86	0.06	0.00	34	78	3	0.13	1.27	0.00	0.19	original network
karate club	0.86	0.06	0.00	34	78	4	0.14	1.68	0.04	0.19	closeness distance
illinois high school	0.53	0.61	0.06	70	336	12	0.07	3.97	0.50	0.09	original network
illinois high school	0.53	0.61	0.06	70	336	11	0.08	3.91	0.35	0.06	aggregate distance
marseille high school	0.10	0.02	0.00	126	1710	6	0.11	2.03	0.00	0.11	original network
marseille high school	0.10	0.02	0.00	126	1710	6	0.11	2.40	0.10	0.31	linear regression distance
CAG	0.89	0.09	0.00	72	940	6	0.18	2.22	0.56	0.31	original network
CAG	0.89	0.09	0.00	72	940	7	0.11	2.55	0.12	0.23	betweenness distance
power network	0.75	0.91	0.09	39	46	11	0.06	4.39	0.00	0.04	original network
power network	0.75	0.91	0.09	39	46	13	0.08	4.77	0.00	0.03	random distance
football	0.98	0.32	0.00	35	118	3	0.10	1.30	0.00	0.19	original network
football	0.98	0.32	0.00	35	118	4	0.11	1.88	0.13	0.31	degree distance
st. marks ecosystem	0.89	0.09	0.00	54	353	7	0.12	2.87	0.02	0.34	original network
st. marks ecosystem	0.89	0.09	0.00	54	353	7	0.11	2.55	0.12	0.23	betweenness distance

Instances where the null hypothesis (samples drawn from single distribution) cannot be rejected are marked with bold font, as well as scalar network descriptors such as diameter d or density ρ that are regenerated within ±10% margin of the original value. Table 4 contains metrics used. The considered distance functions are in Table 3.

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Table 8 Re-creation of empirical networks from Table 7.

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