Dalmau, V. and Krokhin, A. and Larose, B. (2008) 'Retractions onto series-parallel posets.', Discrete mathematics., 308 (11). pp. 2104-2114.
The poset retraction problem for a poset P is whether a given poset Q containing P as a subposet admits a retraction onto P, that is, whether there is a homomorphism from Q onto P which fixes every element of P. We study this problem for finite series-parallel posets P. We present equivalent combinatorial, algebraic, and topological charaterisations of posets for which the problem is tractable, and, for such a poset P, we describe posets admitting a retraction onto P.
|Keywords:||Poset retraction, Series-parallel, Posets, Complexity.|
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|Publisher Web site:||http://dx.doi.org/10.1016/j.disc.2006.08.010|
|Record Created:||18 Dec 2009 11:05|
|Last Modified:||05 Jan 2010 11:02|
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