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The Detour Index

Istvan Lukovits ; Central Research Institute for Chemistry, Hungarian Academy of Sciences, H-1525 Budapest, PD.Box 17, Hungary


Puni tekst: engleski pdf 3.928 Kb

str. 873-882

preuzimanja: 3.252

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Sažetak

The detour index w is the sum of all entries in the upper triangle
of the detour matrix LI, where the ij-th entry Lli} denotes the length
of the longest path between vertices i and j of the underlying
graph. The Wiener index Wand w are equivalent for acyclic structures,
but are different in cycle-containing graphs. Similarly the hyper-Wiener index F and its analogue the hyper-detour index y are equivalent in acyclic structures and are different in cyclic structures. Several formulas were derived for w and y. Excellent correlations between boiling points and the composite indices (Ww)1I8 and (ry)1I10 were found in a series consisting of 77 cyclic and acyclic alkanes.

Ključne riječi

Hrčak ID:

177118

URI

https://hrcak.srce.hr/177118

Datum izdavanja:

1.11.1996.

Posjeta: 3.582 *