Suppose this code using neato:
graph sample {
layout=neato
overlap=false
splines=true
tailclip=false
headclip=false
A -- I
A -- J
A -- B
A -- H
A -- E
A -- K
B -- D
B -- C
B -- L
C -- M
C -- N
C -- O
D -- P
D -- Q
E -- R
F -- A
G -- F
H -- J
}
This gives us this diagram:

What I need is to place a node X, always fixed in a position south from his parent node. i.e. If I put another relation A -- X, X should be always placed south from A. And I don't really care where everything else ends up.
I've looked into the pos attribute, but it doesn't seems to be the solution since X is not really in a fixed position, but on a position relative to his relation.
Also tailport and headport, but they only define from where the edge will come out/in, but don't really affect the direction of the node.
Update
An additional image to make things clearer:

I don't require neato, but I don't want the graph to look like a UD or LR dot tree, I don't want it to be linearly ordered. circo, fdp, sfdp, twopi are alright too.

