The Detour Index

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Abstract

The detour index w is the sum of all entries in the upper triangle of the detour matrix Δ, where the ij-th entry Δij denotes the length of the longest path between vertices i and j of the underlying graph. The Wiener index W and w are equivalent for acyclic structures, but are different in cycle-containing graphs. Similarly the hyper-Wiener index Γ and its analogue the hyper-detour index γ are equivalent in acyclic structures and are different in cyclic structures. Several formulas were derived for w and γ- Excellent correlations between boiling points and the composite indices (Ww)1/8 and (Γγ)1/10 were found in a series consisting of 77 cyclic and acyclic alkanes.

Original languageEnglish
Pages (from-to)873-882
Number of pages10
JournalCroatica Chemica Acta
Volume69
Issue number3
Publication statusPublished - Nov 1996

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Alkanes
Boiling point
Composite materials

ASJC Scopus subject areas

  • Chemistry(all)

Cite this

The Detour Index. / Lukovits, I.

In: Croatica Chemica Acta, Vol. 69, No. 3, 11.1996, p. 873-882.

Research output: Contribution to journalArticle

Lukovits, I 1996, 'The Detour Index', Croatica Chemica Acta, vol. 69, no. 3, pp. 873-882.
Lukovits, I. / The Detour Index. In: Croatica Chemica Acta. 1996 ; Vol. 69, No. 3. pp. 873-882.
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