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Abstract
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Mathematical chemistry is a branch of theoretical chemistry for discussion and prediction of the molecular structure using mathematical methods
without necessarily referring to quantum mechanics. In theoretical chemistry,
distance-based molecular structure descriptors are used for modeling
physical, pharmacologic, biological and other properties of chemical compounds.
The Wiener Polarity index of a graph G, denoted by WP (G), is the
number of unordered pairs of vertices of distance 3. The Wiener polarity
index is used to demonstrate quantitative structure-property relationships
in a series of acyclic and cycle-containing hydrocarbons. Let G and H be
two simple connected graphs, then the tensor product of them is denoted
by G H whose vertex set is V (G H) = V (G) V (H) and edge set
is E (G H) = f(a; b) (c; d) j ac 2 E (G) ; bd 2 E (H)g. In this paper, we
aim to compute the Wiener polarity index of G H which was computed
wrongly in [J. Ma, Y. Shi and J. Yue, The Wiener polarity index of graph
products, Ars Combin. 116 (2014) 235-244].
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