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» Labeled posets are universal
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132
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EJC
2008
15 years 1 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
15 years 7 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
97
Voted
ORDER
2002
87views more  ORDER 2002»
15 years 20 days 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
106
Voted
ORDER
2010
101views more  ORDER 2010»
14 years 11 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»
15 years 5 months ago
An Optimal Ancestry Scheme and Small Universal Posets
Pierre Fraigniaud and Amos Korman