On the Flag f-vector of a Graded Lattice with Nontrivial Homology

Scientific publication - Journal Article uoadl:3064387 9 Read counter

Unit:
NKUA research material
Title:
On the Flag f-vector of a Graded Lattice with Nontrivial Homology
Languages of Item:
English
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.
Publication year:
2013
Authors:
Athanasiadis, C.A.
Journal:
Order
Publisher:
Kluwer Academic Publishers
Volume:
30
Number:
1
Pages:
249-254
Official URL (Publisher):
DOI:
10.1007/s11083-011-9240-2
The digital material of the item is not available.