User blog comment:Hyp cos/SCG(n) and some related/@comment-1605058-20140812130242/@comment-11227630-20140812140516

The cycle-fusing-depth works well in rooted graphs, but not so well in normal unrooted graphs. But we can conclude that, in normal graphs, graph at level between $$\vartheta(\Omega^\omega)$$ and $$\vartheta(\Omega^{\Omega^{\Omega^\omega}})$$ may have cycle-fusing-depth 2 or 3; graph at level between $$\vartheta(\Omega^{\Omega^{\Omega^\omega}})$$ and $$\vartheta(\Omega^{\Omega^{\Omega^{\Omega^{\Omega^\omega}}}})$$ may have cycle-fusing-depth 3 to 5; then 4 to 7, 5 to 9, and so on.