Suborbits and Suborbital Graphs of the Symmetric Group n S 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 paper, we examine some properties of suborbits and suborbital graphs of n S acting on [r] X . Keyword: Suborbital graphs, Suborbits, Symmetric Group, Group action