Abstract:

An injective function \( f : V(G) \rightarrow \{L_1, L_2, \ldots, L_n\} \), where \( L_i \) is the \( i \)th Lucas number, is called a Lucas product cordial labeling if the induced function satisfies \( |e_f^*(0) – e_f^*(1)| \leq 1 \). A graph which admits Lucas product cordial labeling is called Lucas product cordial graph. In this paper, we determined the Lucas Product Cordial Labeling of Quadrilateral Snake Graph Qn, Cycle Quadrilateral Snake Graph CQn, and Alternate Triangular Snake Graph A(Tn).