An iteration digraph generated by the function is a digraph on the set of vertices with the directed edge set . Focusing specifically on the function , we consider the structure of these graphs as it relates to the factors of . The cycle lengths and number of cycles are determined for various sets of integers including powers of 2 and multiples of 3.
"Iteration digraphs of a linear function." Involve 8 (2) 221 - 232, 2015. https://doi.org/10.2140/involve.2015.8.221