Vitamin B12 produced by Cetobacterium somerae improves host resistance against pathogen infection through strengthening the interactions within gut microbiota

Table 1 Major topological properties of the empirical MENs of microbial communities in group CK and B and their associated random MENs

	Empirical networks								Random networks
Group	Total nodes (n)	Total links (L)	Negative links (percentage)	Avg degree (avgK)	Avg path distance (GD)	Avg clustering coefficient (avgCC)	Connectedness (Con)	Modularity (M)	Avg path diatance (GD)	Avg clustering coefficient (avgCC)	Modularity (M)
CK	75	146	25 (17.1%)	3.893^a	3.229^b	0.092^c	0.437	0.456	3.12 ± 0.113	0.091 ± 0.021	0.41 ± 0.012
B	107	323	256 (79.3%)	6.037^a	3.014^b	0.169^c	0.927	0.451	2.80 ± 0.037	0.090 ± 0.013	0.33 ± 0.010

Random networks were generated by resetting all of the links of a matching empirical network with the same nodes and links. Data were generated from 100 random runs and SD indicates the standard deviation from the 100 runs
^aSignificant difference (P < 0.05) in average degree between CK and B based on the Student t test with standard deviations derived from corresponding random networks
^bsignificant difference (P < 0.05) in average path distance between CK and B based on the Student t test with standard deviations derived from corresponding random networks
^csignificant difference (P < 0.05) in average clustering coefficients between CK and B based on the Student t test with standard deviations derived from corresponding random networks

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