In fact it’s considered as an NP-Hard problem. On the other hand Influence Maximization is Hard. Network influence coverage by different methods and budgets Betweenness - the amount of short path going through the node.Closeness - the level of closeness to all of the nodes.EigenVector / PageRank - iterative circles of neighbors.Degree - the amount of neighbors of the node.However the definition and importance of centrality might differ from case to case, and may refer to different centrality measures: Highly central nodes play a key role of a network, serving as hubs for different network dynamics. Homophily is the tendency of individuals to associate and bond with similar others, which results in similar properties among neighbors.Scale Free networks with power-law degree distribution have a skewed population with a few highly-connected nodes (such as social-influences) and a lot of loosely-connected nodes.This applies for real and virtual social networks (the six handshakes theory) and for physical networks such as airports or electricity of web-traffic routings.
Small World phenomenon claims that real networks often have very short paths (in terms of number of hops) between any connected network members.“Influence of Local Information on Social Simulations in Small-World Network Models.” J.
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