Suborbits and Suborbital Graphs of the Symmetric Group acting on Ordered r-element Subsets

The ranks and subdegrees of the symmetric group  acting on ,  the set of all ordered  r-element subsets from X have been studied (See Rimberia [4]). In this paper, we examine some properties of suborbits and suborbital graphs of  acting on .   Keyword: Suborbital graphs, Suborbits, Symmetric Group, Group actio