Affiliation:
1. Faculty of Science, Kragujevac
Abstract
Let ?v denote the degree of the vertex v of a molecular graph G. Then the
connectivity index of G is defined as C (?) = G (?,C) = ? (?u?v)?, where
the summation goes over all pairs of adjacent vertices. The exponent ? is
usually chosen to be equal to -1/2, but other options were considered as
well, especially ?=-1. We show that whereas C(-1/2) is a suitable measure
of branching of the carbon-atom skeleton of organic molecules, and thus
applicable as a topological index for modeling physico-chemical properties
of the respective compounds, this is not the case with C(-1). The value of ?
is established, beyond which C(?) fails to correctly reflect molecular
branching.
Publisher
National Library of Serbia
Cited by
22 articles.
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