Restricted Detour Polynomial of a Straight Chain of Wheel Graphs

Restricted detour distance between two vertices and of a graph is the length of a longestu- v path for the induced condition (V (P))=P. The restricted detour polynomial depends on restricted detour distance and is denoted by D*(G,x) and defined by D*(G,x) = {u,v}xD*(u,v) where the summation is taken over all unordered pairs (u,v) of distinct vertices ofu andvof V(G). In this paper, we investigate the restricted detour polynomial of the straight chain of wheel graphs (WkB) and compute the restricted detour index of (WkB).