Parastrophically Equivalent Quasigroup Equations
The paper extends the results given by M. Křížek and L. Somer, On a connection of number theory with graph theory, Czech. Math. J. 54 (129) (2004), 465–485 (see [5]). For each positive integer define a digraph whose set of vertices is the set and for which there is a directed edge from to if The properties of such digraphs are considered. The necessary and the sufficient condition for the symmetry of a digraph is proved. The formula for the number of fixed points of is established....