Abstract.
This paper investigates Gallai’s property for Archimedean\ tiling\ graphs on the torus.
Moreover, we find a
-graph in
of a smaller order than the one presented in [Nadeem, M. F.; Iqbal, H.; Siddiqui, H. M. A.; Azeem, M. Intersecting longest cycles in Archimedean tilings. {\em Algorithmica}, {\bf 85} (2023), 2348-2362].



