1975
DOI: 10.1021/ed052p768
|View full text |Cite
|
Sign up to set email alerts
|

Some reflections on the topological structure of covalent molecules

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
4
1

Citation Types

0
6
0

Year Published

1977
1977
2016
2016

Publication Types

Select...
5
3

Relationship

0
8

Authors

Journals

citations
Cited by 14 publications
(6 citation statements)
references
References 13 publications
0
6
0
Order By: Relevance
“…The terms of the symbolic equations are in fact acyclic multigraphs [23,24] whose edges are determined by the bond connectivities in conjugated tautomeric forms. Graphs of the real structures must also contain edges of cyclic compounds, which increases the cyclomatic number of a graph [24]. Graphs of the real structures must also contain edges of cyclic compounds, which increases the cyclomatic number of a graph [24].…”
Section: Via Vibmentioning
confidence: 99%
“…The terms of the symbolic equations are in fact acyclic multigraphs [23,24] whose edges are determined by the bond connectivities in conjugated tautomeric forms. Graphs of the real structures must also contain edges of cyclic compounds, which increases the cyclomatic number of a graph [24]. Graphs of the real structures must also contain edges of cyclic compounds, which increases the cyclomatic number of a graph [24].…”
Section: Via Vibmentioning
confidence: 99%
“…For example, they appear in molecular formulas of compounds, as stoichiometric coefficients in balanced chemical equations, as oxidation states of elements, as Miller indices and space groups in X-ray crystallography, as quantum numbers in atomic orbitals, as exponents in concentration terms in rate laws, as topological indices in knot theory applied to polymers, and as peak ratios and multiplicities in the characterization of functional groups in NMR peaks. They are also the basis of graph theoretical methods including deducing the expected minimum number of rings and unsaturations for a given molecular formula [126], counting and enumerating all possible structural isomers for a given molecular formula of a hydrocarbon [127128], and parameterizing chemical properties with topological indices [129–131]. However, none of these integer applications involves partitioning of those integers.…”
Section: Introductionmentioning
confidence: 99%
“…Connectivity indices, as all graph-theoretical indices [1][2][3][4], are derived from molecular graphs, and molecular graphs are derived from constitutional formulas. Despite the correlation, the molecular graph does not match entirely to constitutional formulas.…”
Section: Introductionmentioning
confidence: 99%