Digital chemistry: a novel branch of modern mathematical chemistry

: The deluge of biological sequences ranging from those of proteins, DNA and RNA to genomes has increased the models for their representation, which are further used to contrast those sequences. Here we present a brief bibliometric description of the research area devoted to representation of biological sequences and highlight the semiotic reaches of this process. Finally, we argue that this research area needs further research according to the evolution of mathematical chemistry and its drawbacks are required to be overcome.

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Mathematical Chemistry

New Frontiers in Nanochemistry ◽

10.1201/9780429022944-24 ◽

2020 ◽

pp. 281-289

Author(s):

Louis V. Quintas ◽

Edgar G. DuCasse

Keyword(s):

Mathematical Chemistry

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Computing Discrete Adriatic Indices of Probabilistic Neural Network

European Journal of Pure and Applied Mathematics ◽

10.29020/nybg.ejpam.v13i5.3712 ◽

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.

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Mathematics in chemistry and in mathematical chemistry

Journal of Mathematical Chemistry ◽

10.1007/bf01170000 ◽

1990 ◽

Vol 4 (1) ◽

pp. 3-14

Author(s):

Per-Olov L�wdin

Keyword(s):

Mathematical Chemistry

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A New Method to Find the Wiener Index of Hypergraphs

Discrete Dynamics in Nature and Society ◽

10.1155/2020/8138942 ◽

2020 ◽

Vol 2020 ◽

pp. 1-6

Author(s):

Yalan Li ◽

Bo Deng

Keyword(s):

Organic Compounds ◽

Chemical Properties ◽

Wiener Index ◽

New Method ◽

Physical And Chemical Properties ◽

Mathematical Chemistry ◽

Physical And Chemical ◽

And Chemical Properties

The Wiener index is defined as the summation of distances between all pairs of vertices in a graph or in a hypergraph. Both models—graph-theoretical and hypergraph-theoretical—are used in mathematical chemistry for quantitatively studying physical and chemical properties of classical and nonclassical organic compounds. In this paper, we consider relationships between hypertrees and trees and hypercycles and cycles with respect to their Wiener indices.

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