@article{3064387, title = "On the Flag f-vector of a Graded Lattice with Nontrivial Homology", author = "Athanasiadis, C.A.", journal = "Order", year = "2013", volume = "30", number = "1", pages = "249-254", publisher = "Kluwer Academic Publishers", issn = "0167-8094", doi = "10.1007/s11083-011-9240-2", abstract = "It is proved that the Boolean algebra of rank n minimizes the flag f-vector among all graded lattices of rank n, whose proper part has nontrivial top-dimensional homology. The analogous statement for the flag h-vector is conjectured in the Cohen-Macaulay case. © 2011 Springer Science+Business Media B.V." }