Topological index estimates

1988 ◽  
pp. 180-198 ◽  
Author(s):  
N. M. Bliznyakov
Keyword(s):  
Topological Index

scholarly journals Topological Formulae for the Zeroth Cohomology of Line Bundles on del Pezzo and Hirzebruch Surfaces

2021 ◽  
Vol 8 (1) ◽  
pp. 223-229
Author(s):  
Callum R. Brodie ◽  
Andrei Constantin ◽  
Rehan Deen ◽  
Andre Lukas
Keyword(s):  
Topological Index ◽  
Line Bundles ◽  
Hirzebruch Surfaces ◽  
Del Pezzo

Abstract We show that the zeroth cohomology of effective line bundles on del Pezzo and Hirzebruch surfaces can always be computed in terms of a topological index.

Control of evolutionary processes, topological index and deformation theory

2008 ◽  
Vol 41 (2) ◽  
pp. 13293-13298
Author(s):  
A.G. Aleksandrov ◽  
A.A. Castro ◽  
V.A. Gruzman
Keyword(s):  
Deformation Theory ◽  
Topological Index ◽  
Evolutionary Processes

scholarly journals Equivariant embedding theorems and topological index maps

2010 ◽  
Vol 225 (5) ◽  
pp. 2840-2882 ◽  
Author(s):  
Heath Emerson ◽  
Ralf Meyer
Keyword(s):  
Topological Index ◽  
Embedding Theorems ◽  
Equivariant Embedding ◽  
Index Maps

ChemInform Abstract: Mining a Large Database for Peptidomimetic Ring Structures Using a Topological Index.

ChemInform ◽  
2010 ◽  
Vol 30 (32) ◽  
pp. no-no
Author(s):  
Alan H. Lipkus
Keyword(s):  
Topological Index ◽  
Large Database ◽  
Ring Structures

Simplex Optimization of Generalized Topological Index (GTI−Simplex):  A Unified Approach to Optimize QSPR Models

2005 ◽  
Vol 109 (43) ◽  
pp. 9890-9895 ◽  
Author(s):  
Adelio R. Matamala ◽  
Ernesto Estrada
Keyword(s):  
Topological Index ◽  
Unified Approach ◽  
Simplex Optimization

Sharp upper bounds of F-index among bicyclic graphs

2021 ◽  
pp. 2250055
Author(s):  
R. Khoeilar ◽  
A. Jahanbani ◽  
L. Shahbazi ◽  
J. Rodríguez
Keyword(s):  
Maximum Degree ◽  
Topological Index ◽  
Upper Bounds ◽  
Degree Of A Vertex ◽  
Bicyclic Graphs

The [Formula: see text]-index of a graph [Formula: see text], denoted by [Formula: see text], is defined as the sum of weights [Formula: see text] over all edges [Formula: see text] of [Formula: see text], where [Formula: see text] denotes the degree of a vertex [Formula: see text]. In this paper, we give sharp upper bounds of the [Formula: see text]-index (forgotten topological index) over bicyclic graphs, in terms of the order and maximum degree.

Color screening and topological index in the classical Yang-Mills theory with sources

1986 ◽  
Vol 33 (6) ◽  
pp. 1825-1827 ◽  
Author(s):  
C. H. Lai ◽  
C. H. Oh
Keyword(s):  
Topological Index ◽  
Yang Mills

Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges

2009 ◽  
Vol 46 (4) ◽  
pp. 1369-1376 ◽  
Author(s):  
Damir Vukičević ◽  
Boris Furtula
Keyword(s):  
Topological Index ◽  
Vertex Degrees

scholarly journals Computing Discrete Adriatic Indices of Probabilistic Neural Network

2020 ◽  
Vol 13 (5) ◽  
pp. 1149-1161
Author(s):  
T Deepika ◽  
V. Lokesha
Keyword(s):  
Neural Network ◽  
Neural Networks ◽  
Topological Index ◽  
Probabilistic Neural Network ◽  
Topological Indices ◽  
Probabilistic Neural Networks ◽  
Mathematical Chemistry ◽  
International Academy

A Topological index is a numeric quantity which characterizes the whole structure of a graph. Adriatic indices are also part of topological indices, mainly it is classified into two namely extended variables and discrete adriatic indices, especially, discrete adriatic indices are analyzed on the testing sets provided by the International Academy of Mathematical Chemistry (IAMC) and it has been shown that they have good presaging substances in many compacts. This contrived attention to compute some discrete adriatic indices of probabilistic neural networks.

scholarly journals A Computational Approach on Acetaminophen Drug using Degree-Based Topological Indices and M-Polynomials

2021 ◽  
Vol 12 (6) ◽  
pp. 7249-7266
Keyword(s):  
Biological Activity ◽  
Physicochemical Properties ◽  
Chemical Structure ◽  
Topological Index ◽  
Chemical Reactivity ◽  
Chemical Compounds ◽  
Computational Approach ◽  
Topological Indices ◽  
Numerical Representation ◽  
Essential Drug

Topological index is a numerical representation of a chemical structure. Based on these indices, physicochemical properties, thermodynamic behavior, chemical reactivity, and biological activity of chemical compounds are calculated. Acetaminophen is an essential drug to prevent/treat various types of viral fever, including malaria, flu, dengue, SARS, and even COVID-19. This paper computes the sum and multiplicative version of various topological indices such as General Zagreb, General Randić, General OGA, AG, ISI, SDD, Forgotten indices M-polynomials of Acetaminophen. To the best of our knowledge, for the Acetaminophen drugs, these indices have not been computed previously.

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