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Search for nondegenerate real vertex invariants and derived topological indexes

✍ Scribed by Alexandru T. Balaban; Cornel Catana


Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
496 KB
Volume
14
Category
Article
ISSN
0192-8651

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✦ Synopsis


Two new types of real (i.e., noninteger) local vertex invariants (LOVIs), denoted by c, and c; and called distance-enhanced exponential connectivities, are defiied via eqs. ( 1)-( 3) and (1')-(3'), respectively. Only the case when the exponent z equals 1 in eqs. ( 3) and (3') is discussed in detail. Both these LOWS span the range from 0-1, but their dependence upon topology is fairly different, as seen from Table 11, where c, and c; values for all heptane and octane isomers are displayed. From these LOVIs, by simple summation over all graph vertices two new topological indexes (TIs), denoted by XC and XC', respectively, are obtained. Their intermolecular ordering of all alkanes with four to nine carbon atoms is discussed. On their basis, correlations with boiling points and critical pressures of alkanes are presented.