1. A method for discovering and analyzing a network topology, the method comprising: obtaining, by a network topology discovery and analyzing computing apparatus, information regarding a network including a relationship of a plurality of nodes of the network; determining, by the network topology discovery and analyzing computing apparatus, a value for each of at least three of a plurality of centrality parameters for each of the plurality of nodes, wherein the plurality of centrality parameters comprise betweenness, closeness, degree, clustering coefficient, or eccentricity; generating, by the network topology discovery and analyzing computing apparatus, at least one topology score for each of the plurality of nodes based on the centrality parameter values; identifying, by the network topology discovery and analyzing computing apparatus, one or more relatively significant nodes based on one or more of the topology scores; and outputting, by the network topology discovery and analyzing computing apparatus, the identified one or more relatively significant nodes.