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The Edge Szeged Index of One–Pentagonal Carbon Nanocones

The edge Szeged index is a new molecular structure descriptor equal to the sum of products m u (e)m v (e) over all edges e = uv of the molecular graph G, where m u (e) is the number of edges which its distance to vertex u is smaller than the distance to vertex v, and n v (e) is defined analogously. In this paper, the edge Szeged index of one-pentagonal carbon nanocone CNC 5 [n] is computed for the first time.