  We consider weakly interacting diffusions on time varying random graphs. The
system consists of a large number of nodes in which the state of each node is
governed by a diffusion process that is influenced by the neighboring nodes.
The collection of neighbors of a given node changes dynamically over time and
is determined through a time evolving random graph process. A law of large
numbers and a propagation of chaos result is established for a multi-type
population setting where at each instant the interaction between nodes is given
by an inhomogeneous random graph which may change over time. This result covers
the setting in which the edge probabilities between any two nodes is allowed to
decay to $0$ as the size of the system grows. A central limit theorem is
established for the single-type population case under stronger conditions on
the edge probability function.
