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ORDER
2002
104views more  ORDER 2002»
13 years 5 months ago
Partially Well-Ordered Closed Sets of Permutations
It is known that the "pattern containment" order on permutations is not a partial well-order. Nevertheless, many naturally defined subsets of permutations are partially ...
Mike D. Atkinson, Max Murphy, Nikola Ruskuc
MOR
2008
169views more  MOR 2008»
13 years 5 months ago
The Flow Set with Partial Order
The flow set with partial order is a mixed-integer set described by a budget on total flow and a partial order on the arcs that may carry positive flow. This set is a common substr...
Alper Atamtürk, Muhong Zhang
ANOR
2008
69views more  ANOR 2008»
13 years 5 months ago
NP-hardness results for the aggregation of linear orders into median orders
Abstract Given a collection of individual preferences defined on a same finite set of candidates, we consider the problem of aggregating them into a collective preference minimizin...
Olivier Hudry
BSL
2000
153views more  BSL 2000»
13 years 5 months ago
Combinatorics with definable sets: Euler characteristics and Grothendieck rings
We recall the notions of weak and strong Euler characteristics on a first order structure and make explicit the notion of a Grothendieck ring of a structure. We define partially or...
Jan Krajícek, Thomas Scanlon
EJC
2008
13 years 5 months ago
Pattern classes of permutations via bijections between linearly ordered sets
Abstract. A pattern class is a set of permutations closed under pattern involvement or, equivalently, defined by certain subsequence avoidance conditions. Any pattern class X which...
Sophie Huczynska, Nikola Ruskuc