An algebraic study of non classical fullerenes

Abstract The Wiener index is the oldest topological index based on the sum of distances between any pair of vertices in given graph. An algebraic approach for generalizing the Wiener index was proposed by Graovać and Pisanski for the first time. In this paper, we compute the modified Wiener index and then the differences between Wiener and modified Wiener indices of an infinite class of non-classical fullerenes.

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