On Numerical Counting of Prime,UPO, and the General Type of Posets According To Heights

Khamis, Soheir 


This paper gives numerical values of non-isomorphic Prime, UPO, and the general types of posets with n elements (n≤ 12) according to heights. These countings depend on two aspects: First one is the modification of the algorithms in [l] and [6]. The second is to apply a technique which gives the general forms for the relations between the generating functions of two arguments, viz. the cardinality of a poset ad its height, for non-isomorphic essentially series, essentially parallel, and (+,⨁)-irreducible posets.

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Keywords Counting, enumeration, poset, the height, prime, UPO, essentially, series, parallel, and (+,⨁)-irreducible posets
Issue Date 2000
URI http://research.asu.edu.eg/123456789/1133

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