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Research Article
Vol. 29, Issue 2
Enumeration of Partial Contraction Transformation Semi-groups
Let M = {1, 2 . . . n} on a partial transformation α, dom (α) : |αx − αy| whenever x, y ∈ dom(α) and |x − y|, then the semi-group CP T(M) of all contraction partial transformation of M is denoted by CP T n. In this article, we derive the formula for some of the (sequences) values of CP T n and obtained that |P Cn| = Pn k=0 n−2 q−3 , |P ODn| = ...
