compound. Topological indices are numerical parameters of a graph which characterize its topology and are usually graph invariant. Topological indices are...

analytical index (related to the dimension of the space of solutions) is equal to the topological index (defined in terms of some topological data). It...

In computer science, a topological sort or topological ordering of a directed graph is a linear ordering of its vertices such that for every directed...

chemical graph theory, the Szeged index is a topological index of a molecule, used in biochemistry. The Szeged index, introduced by Iván Gutman, generalizes...

the Hosoya index is the number of non-empty matchings plus one. The index is named after Haruo Hosoya. It is used as a topological index in chemical...

as the winding number, the topological charge (although it is unrelated to 'charge' in the electrical sense), the topological quantum number (although it...

In chemical graph theory, the Wiener index (also Wiener number) introduced by Harry Wiener, is a topological index of a molecule, defined as the sum of...

The basic models for mathematical chemistry are molecular graph and topological index. In 2005 the International Academy of Mathematical Chemistry (IAMC)...

In physics, magnetic topological insulators are three dimensional magnetic materials with a non-trivial topological index protected by a symmetry other...

in 1850 and later organized in 1875. Presidio County (K-5 in Texas topological index of counties) is in the Trans-Pecos region of West Texas and is named...

In chemical graph theory, the Estrada index is a topological index of protein folding. The index was first defined by Ernesto Estrada as a measure of the...

Common types of topological spaces include Euclidean spaces, metric spaces and manifolds. Although very general, the concept of topological spaces is fundamental...

itself on a sphere with n cross-caps or on a sphere with n/2 handles. In topological graph theory there are several definitions of the genus of a group. Arthur...

Euler–Poincaré characteristic (a topological invariant defined as the alternating sum of the Betti numbers of a topological space) of a closed even-dimensional...

relationships with experimental properties, usually referred to as topological indices (TIs). Topological indices are used in the development of quantitative structure-activity...

In mathematics, a topological vector space (also called a linear topological space and commonly abbreviated TVS or t.v.s.) is one of the basic structures...

the hyper-Wiener index or hyper-Wiener number is a topological index of a molecule, used in biochemistry. The hyper-Wiener index is a generalization...

one of several formal languages used to specify graph properties Topological index, a closely related concept in chemical graph theory List of integer...

theory, the Padmakar–Ivan (PI) index is a topological index of a molecule, used in biochemistry. The Padmakar–Ivan index is a generalization introduced...

analogue of topological K-theory for Banach algebras with most applications used for C*-algebras. Operator K-theory resembles topological K-theory more...

molecular graph with hydrogen vertices deleted. In some important cases (topological index calculation etc.) the following classical definition is sufficient:...

In mathematics and physics, solitons, topological solitons and topological defects are three closely related ideas, all of which signify structures in...

refractive index of about 4. A type of new materials termed "topological insulators", was recently found which have high refractive index of up to 6 in...

invariant under such deformations is a topological property. The following are basic examples of topological properties: the dimension, which allows...

Connectedness is one of the principal topological properties that distinguish topological spaces. A subset of a topological space X {\displaystyle X} is a connected...

geometry. His contributions include the Atiyah–Singer index theorem and co-founding topological K-theory. He was awarded the Fields Medal in 1966 and...

will be some non-empty index set and for every index i ∈ I , {\displaystyle i\in I,} let X i {\displaystyle X_{i}} be a topological space. Denote the Cartesian...

Simulation and Verification. Spring 2006. Lecture 1. Tischendorf C. Topological index of DAEs in the Circuit Simulation. K. E. Brenan; S. L. Campbell; L...

of mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological vector spaces (TVS) that generalize...

aforementioned block form. A topological vector space (TVS) X , {\displaystyle X,} such as a Banach space, is said to be a topological direct sum of two vector...