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Browsing by Author "Gebrehanna, Birhanu"

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    R-Bell numbers for Graphs
    (Addis Ababa University, 2014-02) Gebrehanna, Birhanu; Belaineh, Zelealem (PhD)
    The r-Bell number ^Br(G) of a simple labeled graph G is the number of partitions of its vertex set whose blocks are independent sets of G where the _rst r-vertices are in di_erent blocks. The number of these partitions with k blocks is the (graphical) r- Stirling number ^ Sr(G; k) of G. On this particular paper we will investigate the integer sequence of r-Bell numbers for di_erent kinds of graphs

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