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Centricity index

A normalized centric index C was also introduced in order to reflect the topological shape of alkanes. By definition, C = 0 for n-alkanes (chain-graph) ... [Pg.40]

A further normalization (binormalization) was also made so as to have an upper limit of the. centric index C equal to one for the case of star-graphs (i.e., graphs consisting of one vertex of degree N-l and N-l verties of degree N) ... [Pg.40]

The centric index C belongs to the quadratic class of indices, together with Mi and N2 indices. If the number of vertices of degree v, is denoted by Vb one obtains for graphs with Vj g 4 ... [Pg.40]

The Balaban centric index is calculated from the pruning partition in analogy with the - P Zagreb index M as ... [Pg.42]

This index provides a measure of molecular branching the higher the value of B, the more branched the tree. It is called centric index because it reflects the topology of the tree as viewed from the centre. [Pg.42]

The normalized centric index C is derived by normalization, i.e. imposing the same lower bound, equal to zero for the least branched (linear) trees, on all the graphs. It is defined as ... [Pg.42]

The binormalized centric index provides information on the topological shape of trees in a similar way to the - binormalized quadratic index Q. ... [Pg.42]

The binormalized quadratic index was proposed, together with the binormalized centric index C, to provide information on the topological shape of trees, i.e. the trade-off between linear and star graphs. [Pg.509]

Bonchev, D., Balaban, A.T. and Mekenyan, O. (1980a). Generalization of the Graph Center Concept and Derived Topological Centric Indexes. J.ChemJnf.Comput.ScL, 20,10 113. [Pg.541]

Zefirov, N.S., Palyulin, V.A. and Radchenko, E.V. (1991). Problem of Generation of Structures with Specified Properties. Solution of the Inverse Problem for Balaban Centric Index. Dokl. Akad.Nauk.SSSR, 316, 921-924. [Pg.666]

The binormalized centric index C is derived by a binormalization, that is, imposing on all the graphs the same lower bound and an upper bound equal to one for star graphs. In practice, it is... [Pg.94]

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See also in sourсe #XX -- [ Pg.415 ]



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Centric Topological Indices

Centric indices

Centricity

The Balaban Centric Indices

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