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Thanks for the response! Honestly wasn't expecting any. I understand what you're saying as a pure student would, but could you explain what you mean by "a space is a just an n-dimensional graph"?
Would the vertices map to some coordinate in space? Or am I completely misunderstanding.
I misunderstood a little, I assumed a function graph, which could be R^n space. But for the graph-theory-graphs (sets of vertices and edges) it's similar, you can model the graph using adjacency matrix (NxN matrix for a graph of N vertices, where the vertices 'mapped' to a row and column by index. Usually consisting of real numbers representing distance between the "row" and "column" node) and look at it from the linear algebra point of view. That allows to model some characteristics of the graph. But honestly I haven't mixed these two fields of maths much, so I hope what I wrote is somewhat understandable.