A graph that is not finite is called infinite.
Infinite Graph
See also
Finite Graph, Locally Finite GraphExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Infinite Graph." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/InfiniteGraph.html