TY - JOUR
A2 - Ghareeb, A.
AU - Nasir, Sumiya
AU - Idrees, Nazeran
AU - Sadiq, Afshan
AU - Bashir Farooq, Fozia
AU - Kanwal, Salma
AU - Imran, Muhammad
PY - 2022
DA - 2022/07/05
TI - Strongly Multiplicative Labeling of Diamond Graph, Generalized Petersen Graph, and Some Other Graphs
SP - 3203108
VL - 2022
AB - A finite, simple graph of order k is said to be a strongly multiplicative graph when all vertices of the graph are labeled by positive integers 1,2,3,…,k such that the induced edge labels of the graph, obtained by the product of labels of end vertices of edges, are distinct. In this paper, we show that the diamond graph Brn for 𝑛 ≥ 3, umbrella graph Um,n, and generalized Petersen graph GPn,k, for n≥3 and 1≤k<n/2, admit strongly multiplicative labeling. Moreover, strongly multiplicative labeling of a double comb graph and sunflower planar graph has also been investigated and elaborated as well with different examples.
SN - 2314-4629
UR - https://doi.org/10.1155/2022/3203108
DO - 10.1155/2022/3203108
JF - Journal of Mathematics
PB - Hindawi
KW -
ER -