1. A method for discovering and analyzing a network topology, the method comprising: obtaining, at a network topology discovery and analyzing computing apparatus, information regarding a network including a relationship of a plurality of nodes of the network; determining, with the network topology discovery and analyzing computing apparatus, a value for each of a plurality of centrality parameters for each of the plurality of nodes; generating, with the network topology discovery and analyzing computing apparatus, at least one topology score for each of the plurality of nodes based on one or more of the centrality parameter values; and identifying, with 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, with the network topology discovery and analyzing computing apparatus, the identified one or more relatively significant nodes.