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» Cohen-Macaulay Partially Ordered Sets with Pure Resolutions
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JCT
2008
132views more  JCT 2008»
13 years 8 months ago
The absolute order on the symmetric group, constructible partially ordered sets and Cohen-Macaulay complexes
The absolute order is a natural partial order on a Coxeter group W. It can be viewed as an analogue of the weak order on W in which the role of the generating set of simple reflec...
Christos A. Athanasiadis, Myrto Kallipoliti
DM
2011
238views Education» more  DM 2011»
13 years 3 months ago
A combinatorial approach to height sequences in finite partially ordered sets
Fix an element x of a finite partially ordered set P on n elements. Then let hi(x) be the number of linear extensions of P in which x is in position i, counting from the bottom. T...
Csaba Biró, William T. Trotter
CONCUR
2009
Springer
14 years 3 months ago
Partial Order Reduction for Probabilistic Systems: A Revision for Distributed Schedulers
Abstract. The technique of partial order reduction (POR) for probabilistic model checking prunes the state space of the model so that a maximizing scheduler and a minimizing one pe...
Sergio Giro, Pedro R. D'Argenio, Luis María...
COCOON
2005
Springer
14 years 2 months ago
Genome Rearrangements with Partially Ordered Chromosomes
Genomic maps often do not specify the order within some groups of two or more markers. The synthesis of a master map from several sources introduces additional order ambiguity due ...
Chunfang Zheng, David Sankoff