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

Abstract

The ranks and subdegrees of the symmetric group n S acting on [ ] r X , the set of all ordered r -element subsets from X have been studied (See Rimberia [4]). In this pape r, we examine some properties of suborbits and suborbital graphs of n S acting on [ ] r X