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Reciprocal Edge Transmission Based Topological Indices of Graphs

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The reciprocal edge transmission of a edge e = uv in a connected graph G is defined as the sum of reciprocal of distances between the edge e and all other edges of a graph G. In this paper we introduce and study new topological indices based on the reciprocal edge transmission, such as reciprocal edge transmission sum-connectivity index, recip- rocal edge transmission atom bond connectivity index, reciprocal edge transmission arithmetic-geometric index, reciprocal edge transmission geometric-arithmetic index, reciprocal edge transmission augmented Zagreb index and reciprocal edge transmission inverse sum indeg index. Further obtain bounds for reciprocal edge transmission based indices of any graph and also give explicite expression for some class of graphs.

Abstract

The reciprocal edge transmission of a edge e = uv in a connected graph G is defined as the sum of reciprocal of distances between the edge e and all other edges of a graph G. In this paper we introduce and study new topological indices based on the reciprocal edge transmission, such as reciprocal edge transmission sum-connectivity index, recip- rocal edge transmission atom bond connectivity index, reciprocal edge transmission arithmetic-geometric index, reciprocal edge transmission geometric-arithmetic index, reciprocal edge transmission augmented Zagreb index and reciprocal edge transmission inverse sum indeg index. Further obtain bounds for reciprocal edge transmission based indices of any graph and also give explicite expression for some class of graphs.

참고문헌 (28)

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