There is no layout algorithm in yEd that can produce the result from the linked image.
"Layout" -> "Radial" uses a similar concept and is probably the closest you can get to the desired result with automatic layout in yEd.
The only way to reproduce the tree from the linked image in yEd would be by manually placing all nodes and manually creating bends in the connecting edges. But this would probably so much work as to not be really feasible.
