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→Generalizations: add dual graded graphs -- need to come back and add citations. Also q-analogues. Other uses of DGGs in literature? |
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==Generalizations==
In a differential poset, the same set of edges is used to compute the up and down operators ''U'' and ''D''. If one permits different sets of up edges and down edges (sharing the same vertex sets, and satisfying the same relation), the resulting concept is the ''dual graded graph'', initially defined by Fomin. One recovers differential posets as the case that the two sets of edges coincide.
{{harvtxt|Lam|2008}} defined a signed analogue of differential posets.
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