DI is a design pattern. A design pattern is a conventional way to structure code to solve a particular type of problem. A way to structure code is not a thing that can analyze graphs.

Maybe you're talking about some particular DI framework. That would be a library with functions and classes to make implementing the DI pattern easier. There are many such frameworks, and some of those frameworks may well do automatic graph analysis. But, graph analysis is not inherent in the pattern.

Your specific framework is not the general pattern.