Choosing the exponent in the definition of the connectivity index
Let δv denote the degree of the vertex v of a molecular graph G. Then the connectivity index of G is defined as C (λ) = G (λ,C) = Σ (δuδv)λ, where the summation goes over all pairs of adjacent vertices. The exponent λ is usually chosen to be equal to -1/2, but other options were considered...
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| Format: | Article |
| Language: | English |
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Serbian Chemical Society
2001-01-01
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| Series: | Journal of the Serbian Chemical Society |
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| Online Access: | http://www.doiserbia.nb.rs/img/doi/0352-5139/2001/0352-51390109605G.pdf |
| _version_ | 1828890532773888000 |
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| author | Gutman Ivan Lepović Mirko |
| author_facet | Gutman Ivan Lepović Mirko |
| author_sort | Gutman Ivan |
| collection | DOAJ |
| description | Let δv denote the degree of the vertex v of a molecular graph G. Then the
connectivity index of G is defined as C (λ) = G (λ,C) = Σ (δuδv)λ, where
the summation goes over all pairs of adjacent vertices. The exponent λ is
usually chosen to be equal to -1/2, but other options were considered as
well, especially λ=-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 λ
is established, beyond which C(λ) fails to correctly reflect molecular
branching. |
| first_indexed | 2024-12-13T13:00:38Z |
| format | Article |
| id | doaj.art-908f0573e5c840b68626d23a67da2f67 |
| institution | Directory Open Access Journal |
| issn | 0352-5139 1820-7421 |
| language | English |
| last_indexed | 2024-12-13T13:00:38Z |
| publishDate | 2001-01-01 |
| publisher | Serbian Chemical Society |
| record_format | Article |
| series | Journal of the Serbian Chemical Society |
| spelling | doaj.art-908f0573e5c840b68626d23a67da2f672022-12-21T23:45:03ZengSerbian Chemical SocietyJournal of the Serbian Chemical Society0352-51391820-74212001-01-0166960561110.2298/JSC0109605G0352-51390109605GChoosing the exponent in the definition of the connectivity indexGutman Ivan0Lepović Mirko1Faculty of Science, KragujevacFaculty of Science, KragujevacLet δv denote the degree of the vertex v of a molecular graph G. Then the connectivity index of G is defined as C (λ) = G (λ,C) = Σ (δuδv)λ, where the summation goes over all pairs of adjacent vertices. The exponent λ is usually chosen to be equal to -1/2, but other options were considered as well, especially λ=-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 λ is established, beyond which C(λ) fails to correctly reflect molecular branching.http://www.doiserbia.nb.rs/img/doi/0352-5139/2001/0352-51390109605G.pdfconnectivity indexbranchingtopological indextreechemical tree |
| spellingShingle | Gutman Ivan Lepović Mirko Choosing the exponent in the definition of the connectivity index Journal of the Serbian Chemical Society connectivity index branching topological index tree chemical tree |
| title | Choosing the exponent in the definition of the connectivity index |
| title_full | Choosing the exponent in the definition of the connectivity index |
| title_fullStr | Choosing the exponent in the definition of the connectivity index |
| title_full_unstemmed | Choosing the exponent in the definition of the connectivity index |
| title_short | Choosing the exponent in the definition of the connectivity index |
| title_sort | choosing the exponent in the definition of the connectivity index |
| topic | connectivity index branching topological index tree chemical tree |
| url | http://www.doiserbia.nb.rs/img/doi/0352-5139/2001/0352-51390109605G.pdf |
| work_keys_str_mv | AT gutmanivan choosingtheexponentinthedefinitionoftheconnectivityindex AT lepovicmirko choosingtheexponentinthedefinitionoftheconnectivityindex |