In one or more embodiments, one or more systems, methods, and/or processes may determine one or more auxiliary edges that bypass at least one vertex of vertices that represent physical nodes of a network domain; evaluate at least one edge, that includes the one or more auxiliary edges and that interconnect the vertices, to evaluate a portion of the vertices that excludes the at least one vertex that was bypassed to identify at least one vertex that is associated with at least one service function of a service function chain request specifying service functions to be performed via at least a portion of physical nodes of network domains; and configure a first physical node of the physical nodes of the network domain and associated with the at least one vertex that is associated with the at least one service function to process data via the at least one service function.