How are networks different from graphs?

Question

Mathematics

I can not understand the terminology, how does the term Network relate to the term Graph ?
I tend to believe that these two terms mean the same thing, it's just that their own terminology has been formed around them, which is more convenient to apply in various fields. For example:
Graph (graph) = Network (network)
Vertex (vertex) = Node (node)
Edge (edge) = Link (link)
Social network, transport network, semantic network, interest graph, call graph.
That is, a graph is more often called a mathematical object (a graph in the strict sense, to which all the tools of graph theory are applicable), while less abstract structures with some specific rules are called a network.
Maybe there is a better explanation?

Answer 1

All the networks you listed are graphs of a very specific type with their own properties and operations that are designed to solve a specific problem. But since they are graphs, everything that is true for graphs is true for networks.