TY - JOUR
ID - 5443
TI - Directed Power Graphs
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Mokhtarian Dehkordi, Elham
AU - Eshaghi, Madjid
AU - Moradi, Sirous
AU - Yarahmadi, Zahra
AD - Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
AD - Department of Mathematics, Semnan University, Iran
AD - Department of Mathematics, Faculty of science, Lorestan University, 68151-4-4316, Khorramabad, Iran
AD - Department of Mathematics, Faculty of science, Khorramabad Branch, Islamic Azad University, Khorramabad, I. R. Iran
Y1 - 2021
PY - 2021
VL - 12
IS - 2
SP - 2619
EP - 2657
KW - directed Euler tour
KW - directed Euler path
KW - cycle
KW - directed graph
KW - connected directed graph
KW - directed power graph
KW - Eulerian power graph
DO - 10.22075/ijnaa.2021.5443
N2 - 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.
UR - https://ijnaa.semnan.ac.ir/article_5443.html
L1 - https://ijnaa.semnan.ac.ir/article_5443_f26548e11331e16e65230d1a28c4646c.pdf
ER -