Relations among the edge detour polynomials in nanotubes

Abstract

The edge detour polynomials were recently introduced for computing the edge detour indices. In this paper, we find relations among edge detour polynomials and then, edge detour indices, by using graph theoretical techniques in molecular graphs. These relations are computed for the nanotubes TUC₄C₈S(S), TUC₄C₈S(R) and armchair polyhex nanotubes.