Yañez Gestoso, Francisco Javier and Montero de Juan, Francisco Javier (1999) A poset dimension algorithm. Journal of Algorithmst, 30 (1). pp. 185-208. ISSN 0196-6774
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This article presents an algorithm which computes the dimension of an arbitrary finite poset (partial order set). This algorithm is based on the chromatic number of a graph instead of the classical approach based on the chromatic number of some hypergraph. The relation between both approaches is analyzed. With this algorithm, the dimension of many modest size posets can be computed. Otherwise, an upper bound for the poset dimension is obtained. Some computational results are included. (C) 1999 Academic Press.
|Uncontrolled Keywords:||Hypergraph; Search problem|
|Subjects:||Sciences > Computer science > Artificial intelligence|
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|Deposited On:||22 Oct 2012 08:36|
|Last Modified:||07 Feb 2014 09:36|
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