Wiener indices of benzenoid hydrocarbons containing two linear polyacene fragments

Ivan Gutman; Vladimir Jovašević

Wiener indices of benzenoid hydrocarbons containing two linear polyacene fragments

Ivan Gutman^*, Vladimir Jovašević

^*Corresponding author for this work

Pharmacology

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

Using a recenetly developed method for calculating the Wiener index (W), a general expression is deduced for W of a benzenoid hydrocarbon B (a,b), containing two linear polyacene side chains, with a and b hexagons, respectively, attached to a benzenoid systemB ≡ B (0,0), a+b = h = const. It is shown that W {B(a,b)} is a quadratic function of a and/or b. This function usually attains its minimum at a = b or a = b±1, but for pertinently chosen benzenoid systems B, the minimum can be at any value of a, 1≤a≤h.

Original language	English (US)
Pages (from-to)	31-40
Number of pages	10
Journal	Journal of the Serbian Chemical Society
Volume	63
Issue number	1
State	Published - 1998

Keywords

Benzenoid molecules
Elementary edge-cuts
Wiener index

ASJC Scopus subject areas

Chemistry(all)

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abstract = "Using a recenetly developed method for calculating the Wiener index (W), a general expression is deduced for W of a benzenoid hydrocarbon B (a,b), containing two linear polyacene side chains, with a and b hexagons, respectively, attached to a benzenoid systemB ≡ B (0,0), a+b = h = const. It is shown that W {B(a,b)} is a quadratic function of a and/or b. This function usually attains its minimum at a = b or a = b±1, but for pertinently chosen benzenoid systems B, the minimum can be at any value of a, 1≤a≤h.",

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AU - Gutman, Ivan

AU - Jovašević, Vladimir

PY - 1998

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N2 - Using a recenetly developed method for calculating the Wiener index (W), a general expression is deduced for W of a benzenoid hydrocarbon B (a,b), containing two linear polyacene side chains, with a and b hexagons, respectively, attached to a benzenoid systemB ≡ B (0,0), a+b = h = const. It is shown that W {B(a,b)} is a quadratic function of a and/or b. This function usually attains its minimum at a = b or a = b±1, but for pertinently chosen benzenoid systems B, the minimum can be at any value of a, 1≤a≤h.

AB - Using a recenetly developed method for calculating the Wiener index (W), a general expression is deduced for W of a benzenoid hydrocarbon B (a,b), containing two linear polyacene side chains, with a and b hexagons, respectively, attached to a benzenoid systemB ≡ B (0,0), a+b = h = const. It is shown that W {B(a,b)} is a quadratic function of a and/or b. This function usually attains its minimum at a = b or a = b±1, but for pertinently chosen benzenoid systems B, the minimum can be at any value of a, 1≤a≤h.

KW - Benzenoid molecules

KW - Elementary edge-cuts

KW - Wiener index

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