University of Kashan Mathematics Interdisciplinary Research 2538-3639 9 3 2024 09 01 A Simple Proof for the Being Eulerian of the Power Graphs $ P_{i}(D)$ for 3 ≤ i ≤ 6 333 347 114482 10.22052/mir.2024.253450.1432 EN Elham Mokhtarian Dehkordi ‎Faculty of Mathematics‎, ‎ ‎Statistics and Computer Science‎, ‎‎Semnan University, ‎Semnan‎, ‎I‎. ‎R‎. ‎Iran Madjid Eshaghi Gordji ‎Faculty of Mathematics‎, ‎ ‎Statistics and Computer Science‎, ‎‎Semnan University, ‎Semnan‎, ‎I‎. ‎R‎. ‎Iran Sirous Moradi Department of Mathematics, Faculty of science, Lorestan University, Khorramabad, I. R. Iran Zahra Yarahmadi Department of Mathematics, Faculty of science, Khorramabad Branch, Islamic Azad University, Khorramabad, I. R. Iran Journal Article 2023 08 21 ‎In this article‎, ‎we employ a novel and unique method to analyze the Eulerian nature of the power graphs $ P_{i}(D) $ for 3 ⩽ i ⩽ 6‎. ‎Then‎, ‎we will mention some applications of Eulerian power graphs in computer networks‎. Directed Euler trail‎ ‎Directed Euler tour‎ ‎Eulerian digraph‎ ‎Directed power graph‎ ‎Eulerian power graph https://mir.kashanu.ac.ir/article_114482_46d84c55410ce117956de8337a5440f9.pdf