Directed Power Graphs | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 2619-2657 اصل مقاله (507.03 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5443 | ||
| نویسندگان | ||
| Elham Mokhtarian Dehkordi1؛ Madjid Eshaghi* 2؛ Sirous Moradi3؛ Zahra Yarahmadi4 | ||
| 1Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran | ||
| 2Department of Mathematics, Semnan University, Iran | ||
| 3Department of Mathematics, Faculty of science, Lorestan University, 68151-4-4316, Khorramabad, Iran | ||
| 4Department of Mathematics, Faculty of science, Khorramabad Branch, Islamic Azad University, Khorramabad, I. R. Iran | ||
| چکیده | ||
| In this article, first we introduce six types of power graphs related to a graph (or directed graph), with the help of set theory. Then we show that these newly defined power graphs are pairwise distinct by a few examples. Finally, we discuss the relation between Eulerian being the base graph and these six power graph types. Moreover, we express the relation between pairwise Eulerian of these power graphs. | ||
| کلیدواژهها | ||
| directed Euler tour؛ directed Euler path؛ cycle؛ directed graph؛ connected directed graph؛ directed power graph؛ Eulerian power graph | ||
| مراجع | ||
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