Normal Forms and Equivalence of K-periodically Routed Graphs

We introduce K-periodically Routed Graphs, which are extensions of Marked Graphs with routing nodes, governed by ultimately periodic binary sequences. We study data relations and dependencies, as well as equational transformations of the network topology. We show the existence of expanded normal forms. We prove that some transformations preserve external flow equivalence. Issues arising from internal flow interleavings and permutations are also tackled.