@article{Doemlim_Laohakosol_Chaichana_2024, title={Properties of the Graph Arising from Certain Map over a Finite Field: Annual Meeting in Mathematics 2023}, volume={22}, url={https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1614}, abstractNote={<p>For primes $p$ and $q$, the graph obtained from iterating the map $x \mapsto x^p$ over the finite field of $q^2$ elements is considered. Asymptotic formulas for the sum, over bounded primes $q$, of the total number of elements in all cycles and that of all tail lengths are derived.</p>}, number={1}, journal={Thai Journal of Mathematics}, author={Doemlim, Pratchayaporn and Laohakosol, Vichian and Chaichana, Tuangrat}, year={2024}, month={Mar.}, pages={251–262} }