  This paper introduces the concept of Conjectural Link for Complex Networks,
in particular, social networks. Conjectural Link we understand as an implicit
link, not available in the network, but supposed to be present, based on the
characteristics of its topology. It is possible, for example, when in the
formal description of the network some connections are skipped due to errors,
deliberately hidden or withdrawn (e.g. in the case of partial destruction of
the network). Introduced a parameter that allows ranking the Conjectural Link.
The more this parameter - the more likely that this connection should be
present in the network. This paper presents a method of recovery of partially
destroyed Complex Networks using Conjectural Links finding. Presented two
methods of finding the node pairs that are not linked directly to one another,
but have a great possibility of Conjectural Link communication among
themselves: a method based on the determination of the resistance between two
nodes, and method based on the computation of the lengths of routes between two
nodes. Several examples of real networks are reviewed and performed a
comparison to know network links prediction methods, not intended to find the
missing links in already formed networks.
