User blog comment:Hyp cos/SCG(n) and some related/@comment-1605058-20140808104447

With this clarification I think I understand it now. I wanted to point out that there are multiple ways to order these graphs, for example, we could first list all Y-shaped trees, and then H-shaped one.

Good luck on further comparisons. If I'm not mistaken, you can reach all ordinals up to SVO without even using fused cycles, which would mean that triple edge would be at least at level SVO.

Nice pictures btw. What software did you use?