P = cellOrder(G)
P = cellOrder(X)
If a moment graph $G$ arises from a (possibly singular) GKM variety $X$ with an equivariant stratification, with each strata having a unique torusfixed point, the vertices of $G$ (which correspond to the torusfixed point of $X$) form a poset where $v_1 \leq v_2$ if the closure of the stratum corresponding to $v_1$ contains that of $v_2$. The following example features the Schubert variety of projective lines in $\mathbb P^3$ meeting a distinguished line. The poset of its stratification by smaller Schubert cells is a subposet of the Bruhat poset.



The object cellOrder is a method function.