On The Relative Frequency of Series-Parallel to N–Free Posets

BAYOUHI I. BAYOUM I, MOHAHED H. EL-ZAHAR; Khamis, Soheir;

Abstract


Let s_n ,f_n be the number of series-parallel
partially ordered sets (poset.s) and N-free posets on n elements respectively. Mohring, (see[5], problem sessions pp. 522-591), asked about. the limiting• ratio of s_n to f_n.

In this paper the authors prove constructively that the ratio tends to infinity.


Other data

Title On The Relative Frequency of Series-Parallel to N–Free Posets
Authors BAYOUHI I. BAYOUM I, MOHAHED H. EL-ZAHAR ; Khamis, Soheir 
Issue Date 1991
Journal Ain Shams Science Bulletin 

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