In our research we concentrate on networks. The topic of networks has been extensively studied over the last few decades and it is still gaining popularity. In this thesis we study the challenge of gaining an understanding of networks when information about the network is unknown or limited in some way. Initially we consider the challenge of understanding from a vast amount of information what can be used to provide insight into the behaviour of the network, and for this we consider methods and techniques adopted from the social network analysis (SNA) community. Following this, we consider networks that have access to data that is limited in some way and demonstrate that statistical analysis methods can be used to overcome these challenges. Finally, we consider the challenge of having exposure to increasingly less information about the network, and we demonstrate this difficulty by considering the rendezvous problem in a restricted network.