Abstract
Three composite graphs Ladder graph (L_{n}), Tadpole graph (T_{n,k}) and Wheel graph (W_{n}) are graceful graphs, which have different applications in electrical, electronics, wireless communication etc. In this report, we first determine M-polynomial of the Line graph of those three graphs using subdivision idea and then compute some degree based indices of the same.
Highlights
Throughout this article we use molecular graph, a connected graph having no loops and no parallel edges where vertices and edges are correspond to atoms and chemical bonds of the compound
T)ofpoorloegviecrayl graph G isomorphic to H, where is the class of all graphs. These numerical quantity corresponding to a molecular graph are e¤ective in correlating the structure with di¤erent physicochemical properties, chemical reactivity, and biological activities
Wiener polynomial is a general polynomial in the ...eld of distance-based topological indices whose derivatives at 1 yield Weiner and Hyper Weiner indices [2]
Summary
Throughout this article we use molecular graph, a connected graph having no loops and no parallel edges where vertices and edges are correspond to atoms and chemical bonds of the compound. T)ofpoorloegviecrayl graph G isomorphic to H, where is the class of all graphs These numerical quantity corresponding to a molecular graph are e¤ective in correlating the structure with di¤erent physicochemical properties, chemical reactivity, and biological activities. These indices are evaluated by formal de...nitions. M-polynomial, degree based topological index, line graph, subdivision graph. Computation of degree based topological indices reduce to evaluation of a single polynomial. Detailed analysis of this polynomial can yield new insights in the knowledge of degree based topological indices. We calculate the degree based topological indices of L(S(Ln)), L(S(Tn;k)), L(S(Wn)) using M -polynomial
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