Table 3 The topological characteristics of different networks, where the naming convention for LFR synthetic networks follows the pattern LFR_N_\(\mu\), where N represents the number of nodes in the network, \(\mu\) represents the parameter controlling the strength of community structure in the synthetic network; m indicates the number of edges in the network; \(k_{max}\) denotes the maximum degree in the network, \(\mathrm {<}k\mathrm {>}\) represents the average degree of the network, \(\mathrm {<C>}\) signifies the average clustering coefficient of the network⁴³, r represents the degree assortativity of the network⁴⁴; M denotes the modularity size of the network³⁸, and the community detection algorithm used in this paper is the Louvain algorithm^19,45; \(\beta _{th}\) represents the disease propagation threshold of the network under the SIR model, calculated using the formula⁴⁶ \(\frac{<k>}{<k^2> <k>}\).

From: Identifying influential nodes based on the disassortativity and community structure of complex network