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・ Topological degree theory
・ Topological derivative
・ Topological divisor of zero
・ Topological drugs
・ Topological dynamics
・ Topological entropy
・ Topological entropy in physics
・ Topological excitations
・ Topological fluid dynamics
・ Topological functioning model
・ Topological game
・ Topological graph
・ Topological graph theory
・ Topological group
・ Topological half-exact functor
Topological index
・ Topological indistinguishability
・ Topological insulator
・ Topological K-theory
・ Topological manifold
・ Topological map
・ Topological modular forms
・ Topological module
・ Topological monoid
・ Topological order
・ Topological pair
・ Topological property
・ Topological quantum computer
・ Topological quantum field theory
・ Topological quantum number


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Topological index : ウィキペディア英語版
Topological index
:For ''topological index'' in mathematics, see Atiyah–Singer index theorem.
In the fields of chemical graph theory, molecular topology, and mathematical chemistry, a topological index also known as a connectivity index is a type of a molecular descriptor that is calculated based on the molecular graph of a chemical compound. Topological indices are numerical parameters of a graph which characterize its topology and are usually graph invariant. Topological indices are used for example in the development of quantitative structure-activity relationships (QSARs) in which the biological activity or other properties of molecules are correlated with their chemical structure.
== Calculation ==

Topological descriptors are derived from hydrogen-suppressed molecular graphs, in which the atoms are represented by vertices and the bonds by edges. The connections between the atoms can be described by various types of topological matrices (e.g., distance or adjacency matrices), which can be mathematically manipulated so as to derive a single number, usually known as graph invariant, graph-theoretical index or topological index. As a result, the topological index can be defined as two-dimensional descriptors that can be easily calculated from the molecular graphs, and do not depend on the way the graph is depicted or labeled and no need of energy minimization of the chemical structure.

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