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- W2028757465 abstract "The Wiener index W(G) has originally been defined for acyclic graphs. Therefore its extension to cycle-containing structures is not unambiguous; there are several possibilities, some of which have already been realized. In this paper, we proposed an “all-path” version of W and showed that its maximal value is equal to N2(N − 1)2N-4, where N denotes the number of vertices in a graph. In contrast, the maximal values of W and its close analogues, the detour index, w(G), and the Szeged index, Sz(G), are polynomials of order 4 or less in terms of N, and therefore, it may be expected that the new version will discriminate cycle-containing structures more efficiently than W(G), w(G), or Sz(G)." @default.
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- W2028757465 date "1998-01-22" @default.
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- W2028757465 title "An All-Path Version of the Wiener Index" @default.
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- W2028757465 doi "https://doi.org/10.1021/ci9700541" @default.
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