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- W2015798891 abstract "The Padmakar–Ivan (PI) index of a graph G is defined as PI $$(G) = Sigma [n_{rm eu}(evert G)+n_{rm ev}(evert G)]$$ , where for edge e=(u,v) are $$n_{rm eu} (evert G)$$ the number of edges of G lying closer to u than v, and $$n_{rm ev} (evert G)$$ is the number of edges of G lying closer to v than u and summation goes over all edges of G. The PI index is a Wiener–Szeged-like topological index developed very recently. In this paper, we describe a method of computing PI index of benzenoid hydrocarbons (H) using orthogonal cuts. The method requires the finding of number of edges in the orthogonal cuts in a benzenoid system (H) and the edge number of H – a task significantly simpler than the calculation of PI index directly from its definition." @default.
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- W2015798891 date "2006-05-17" @default.
- W2015798891 modified "2023-10-02" @default.
- W2015798891 title "A Method of Computing the PI Index of Benzenoid Hydrocarbons Using Orthogonal Cuts" @default.
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- W2015798891 doi "https://doi.org/10.1007/s10910-006-9100-2" @default.
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