TY - JOUR
ID - 57101
TI - On Powers of Some Graph Operations
JO - Mathematics Interdisciplinary Research
JA - MIR
LA - en
SN - 2538-3639
AU - Seoud, Mohamed
AU - Mohamed Hafez, Hamdy
AD - Department of Mathematics, Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt
AD - Department of Basic science, Faculty of Computers and Information, Fayoum University, Fayoum 63514, Egypt
Y1 - 2018
PY - 2018
VL - 3
IS - 1
SP - 31
EP - 43
KW - Graph product
KW - power graphs
KW - graph indices
DO - 10.22052/mir.2018.85618.1062
N2 - Let G*H be the product * of G and H. In this paper we determine the rth power of the graph G*H in terms of Gr, Hrand Gr*Hr, when * is the join, Cartesian, symmetric difference, disjunctive, composition, skew and corona product. Then we solve the equation (G*H)r=Gr*Hr. We also compute the Wiener index and Wiener polarity index of the skew product.
UR - https://mir.kashanu.ac.ir/article_57101.html
L1 - https://mir.kashanu.ac.ir/article_57101_b1f55afe12af7374ddf09f2ea47cbc9e.pdf
ER -