4 search results - page 1 / 1 » The Spider Poset Is Macaulay |
JCT
2000
13 years 4 months ago
2000
Let Q(k, l) be a poset whose Hasse diagram is a regular spider with k+1 legs having the same length l (cf. Fig. 1). We show that for any n 1 the nth cartesian power of
JCT
1998
13 years 4 months ago
1998
If P is an upper semilattice whose Hasse diagram is a tree and whose cartesian powers are Macaulay, it is shown that Hasse diagram of P is actually a spider in which all the legs ...
JCT
2007
13 years 4 months ago
2007
It is shown that the coset lattice of a finite group has shellable order complex if and only if the group is complemented. Furthermore, the coset lattice is shown to have a Cohen...
DM
2002
13 years 4 months ago
2002
We consider the vertex-isoperimetric problem for cartesian powers of a graph G. A total order on the vertex set of G is called isoperimetric if the boundary of sets of a given siz...