E-resources
-
Kallipoliti, Myrto; Mühle, Henri
Advances in applied mathematics, 08/2015, Volume: 69Journal Article
In this article we introduce the m-cover poset of an arbitrary bounded poset P, which is a certain subposet of the m-fold direct product of P with itself. Its ground set consists of multichains of P that contain at most three different elements, one of which has to be the least element of P, and the other two elements have to form a cover relation in P. We study the m-cover poset from a structural and topological point of view. In particular, we characterize the posets whose m-cover poset is a lattice for all m>0, and we characterize the special cases, where these lattices are EL-shellable, left-modular, or trim. Subsequently, we investigate the m-cover poset of the Tamari lattice Tn, and we show that the smallest lattice that contains the m-cover poset of Tn is isomorphic to the m-Tamari lattice Tn(m) introduced by Bergeron and Préville-Ratelle. We conclude this article with a conjectural desription of an explicit realization of Tn(m) in terms of m-tuples of Dyck paths.
![loading ... loading ...](themes/default/img/ajax-loading.gif)
Shelf entry
Permalink
- URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year | Impact factor | Edition | Category | Classification | ||||
---|---|---|---|---|---|---|---|---|
JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
Select the library membership card:
If the library membership card is not in the list,
add a new one.
DRS, in which the journal is indexed
Database name | Field | Year |
---|
Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
---|
Source: Personal bibliographies
and: SICRIS
The material is available in full text. If you wish to order the material anyway, click the Continue button.