00:01
We want to discuss whether or not these two graphs are isomorphic, all right, which means we have to map points to points and lines to lines.
00:10
And if they're isomorphic, we should also be able to draw the inverse transformation, okay? but the important thing is being able to map points to points and lines to lines and have this graph turn into this one, okay? ok, and i'm going to point out that they are not isomorphic.
00:34
And here's why.
00:37
There's a lot of reasons, but let's just look at this one.
00:40
Let's take this triangle, u1, u2, u3.
00:45
Ok, so that has to map to a triangle over here in the second graph.
00:54
All right.
00:55
We have to take this triangle into what? because there are no triangles.
01:01
There are triangles, sure, over here.
01:08
But there are no triangles that have our vertices.
01:13
Because the points in the middle don't count...