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EJC
2008
13 years 4 months ago
Labeled posets are universal
Partially ordered sets labeled with k labels (k-posets) and their homomorphisms are examined. The homomorphicity order of k-posets is shown to be a distributive lattice. Homomorph...
Erkko Lehtonen
LFCS
2009
Springer
13 years 11 months ago
Logic and Bounded-Width Rational Languages of Posets over Countable Scattered Linear Orderings
In this paper we consider languages of labelled N-free posets over countable and scattered linear orderings. We prove that a language of such posets is series-rational if and only ...
Nicolas Bedon
ORDER
2002
87views more  ORDER 2002»
13 years 4 months ago
Posets on up to 16 Points
In this article we describe a very efficient method to construct pairwise nonisomorphic posets (equivalently, T0 topologies). We also give the results obtained by a computer progr...
Gunnar Brinkmann, Brendan D. McKay
ORDER
2010
101views more  ORDER 2010»
13 years 2 months ago
Definability in Substructure Orderings, II: Finite Ordered Sets
Let P be the ordered set of isomorphism types of finite ordered sets (posets), where the ordering is by embeddability. We study first-order definability in this ordered set. We ...
Jaroslav Jezek, Ralph McKenzie
STOC
2010
ACM
171views Algorithms» more  STOC 2010»
13 years 9 months ago
An Optimal Ancestry Scheme and Small Universal Posets
Pierre Fraigniaud and Amos Korman