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JCT
1998
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13 years 10 months ago
On Posets whose Products are Macaulay
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 ...
Sergei L. Bezrukov
JCT
2000
90views more  JCT 2000»
13 years 10 months ago
The Spider Poset Is Macaulay
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
Sergei L. Bezrukov, Robert Elsässer
DAM
2008
135views more  DAM 2008»
13 years 11 months ago
Edge ranking and searching in partial orders
: We consider a problem of searching an element in a partially ordered set (poset). The goal is to find a search strategy which minimizes the number of comparisons. Ben-Asher, Farc...
Dariusz Dereniowski
ICFCA
2004
Springer
14 years 4 months ago
Automated Lattice Drawing
Lattice diagrams, known as Hasse diagrams, have played an ever increasing role in lattice theory and fields that use lattices as a tool. Initially regarded with suspicion, they no...
Ralph Freese