Lexicographic product graphs Pm[Pn] are antimagic

Peer review under responsibility of Kalasalingam University.

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11401430 and 11301381).

Figures & data

Fig. 1 $P_4,P_5$, and $P_4\left[P_5\right]$.

Fig. 2 Labeling ${\varphi }_1$ on edges of $P_n^{\left(j\right)}$.

Fig. 3 Modification $A$ and $B$.

Fig. 4 Antimagic labeling of $P_m\left[P_2\right]$.