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DM
2008
73views more  DM 2008»
13 years 4 months ago
On multipartite posets
Let m 2 be an integer. We say that a poset P = (X, ) is m-partite if X has a partition X = X1
Geir Agnarsson
ORDER
2007
89views more  ORDER 2007»
13 years 4 months ago
On-line Chain Partitioning of Up-growing Interval Orders
On-line chain partitioning problem of on-line posets has been open for the past 20 years. The best known on-line algorithm uses 5w −1 4 chains to cover poset of width w. Felsner ...
Patrick Baier, Bartlomiej Bosek, Piotr Micek
ARSCOM
2006
81views more  ARSCOM 2006»
13 years 4 months ago
A Counting of the minimal realizations of the posets of dimension two
The posets of dimension 2 are those posets whose minimal realizations have two elements, that is, which may be obtained as the intersection of two of their linear extensions. Gall...
Pierre Ille, Jean-Xavier Rampon
ORDER
2008
61views more  ORDER 2008»
13 years 4 months ago
Partitioning Posets
Given a poset P = (X, ), a partition X1, . . . , Xk of X is called an ordered partition of P if, whenever x Xi and y Xj with x y, then i j. In this paper, we show that for ever...
Viresh Patel
COMBINATORICS
2006
126views more  COMBINATORICS 2006»
13 years 4 months ago
Plethysm for Wreath Products and Homology of Sub-Posets of Dowling Lattices
We prove analogues for sub-posets of the Dowling lattices of the results of Calderbank, Hanlon, and Robinson on homology of sub-posets of the partition lattices. The technical too...
Anthony Henderson