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Layout of mathematical "lattice"?

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In mathematics, the convention for a lattice diagram is that if A > B then node A should be *above* node B.

So I have a lattice with some edges connecting various nodes, like a free graph but with the requirement that each layer of nodes are "bigger" than the lower-layer nodes.

I want to be able to specify such "layers", and have an algorithm automatically arranging the nodes so that they are spaced evenly on the same horizontal layer, all layers would be evenly spaced, and the nodes would be centrally aligned on each layer.  Can this be achieved in yEd?

Boolean lattice

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