TY - JOUR TI - On the Flag f-vector of a Graded Lattice with Nontrivial Homology AU - Athanasiadis, C.A. JO - Order PY - 2013 VL - 30 TODO - 1 SP - 249-254 PB - Kluwer Academic Publishers SN - 0167-8094 TODO - 10.1007/s11083-011-9240-2 TODO - null TODO - 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. ER -