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math.CO2010
On the flag f-vector of a graded lattice with nontrivial homology
Christos A. Athanasiadis
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 anal…
math.CO2010★ 1 cited
Cubical subdivisions and local -vectors
Christos A. Athanasiadis
Face numbers of triangulations of simplicial complexes were studied by Stanley by use of his concept of a local -vector. It is shown that a parallel theory exists for cubical su…