Geodesic
Sets of reflections defining twisted Bruhat orders.
Journal of Algebraic Combinatorics, Tome 26 (2007) no. 3, pp. 357-362.

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Summary: Twisted Bruhat orders are certain partial orders on a Coxeter system $( W, S)$ associated to initial sections of reflection orders, which are certain subsets of the set of reflections $T$ of a Coxeter system. We determine which subsets of $T$ give rise to a partial order on $W$ in the same way. 
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     author = {Edgar, Tom},
     title = {Sets of reflections defining twisted {Bruhat} orders.},
     journal = {Journal of Algebraic Combinatorics},
     pages = {357--362},
     publisher = {mathdoc},
     volume = {26},
     number = {3},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2007__26_3_a2/}
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Edgar, Tom. Sets of reflections defining twisted Bruhat orders.. Journal of Algebraic Combinatorics, Tome 26 (2007) no. 3, pp. 357-362. http://geodesic.mathdoc.fr/item/JAC_2007__26_3_a2/