scholarly journals On Topological Indices of mth Chain Hex-Derived Network of Third Type

2020 ◽  
Vol 8 ◽  
Author(s):  
Yuhong Huo ◽  
Haidar Ali ◽  
Muhammad Ahsan Binyamin ◽  
Syed Sheraz Asghar ◽  
Usman Babar ◽  
...  
Keyword(s):  
Chemical Properties ◽  
Chemical Compounds ◽  
Topological Indices ◽  
Theoretical Chemistry ◽  
Vaporization Enthalpy ◽  
Graphical View ◽  
Type 3 ◽  
Physical And Chemical ◽  
Atom Bond ◽  
And Chemical Properties

In theoretical chemistry, the numerical parameters that are used to characterize the molecular topology of graphs are called topological indices. Several physical and chemical properties like boiling point, entropy, heat formation, and vaporization enthalpy of chemical compounds can be determined through these topological indices. Graph theory has a considerable use in evaluating the relation of various topological indices of some derived graphs. In this article, we will compute the topological indices like Randić, first Zagreb, harmonic, augmented Zagreb, atom-bond connectivity, and geometric-arithmetic indices for chain hex-derived network of type 3 CHDN3(m,n) for different cases of m and n. We will also compute the numerical computation and graphical view to justify our results.Mathematics Subject Classification: 05C12, 05C90

scholarly journals Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Muhammad Asad Ali ◽  
Muhammad Shoaib Sardar ◽  
Imran Siddique ◽  
Dalal Alrowaili
Keyword(s):  
Graph Theory ◽  
Chemical Properties ◽  
Topological Indices ◽  
Connectivity Index ◽  
Vaporization Enthalpy ◽  
Zagreb Index ◽  
Graph Operations ◽  
Big Graphs ◽  
Physical And Chemical ◽  
Atom Bond

A measurement of the molecular topology of graphs is known as a topological index, and several physical and chemical properties such as heat formation, boiling point, vaporization, enthalpy, and entropy are used to characterize them. Graph theory is useful in evaluating the relationship between various topological indices of some graphs derived by applying certain graph operations. Graph operations play an important role in many applications of graph theory because many big graphs can be obtained from small graphs. Here, we discuss two graph operations, i.e., double graph and strong double graph. In this article, we will compute the topological indices such as geometric arithmetic index GA , atom bond connectivity index ABC , forgotten index F , inverse sum indeg index ISI , general inverse sum indeg index ISI α , β , first multiplicative-Zagreb index PM 1   and second multiplicative-Zagreb index PM 2 , fifth geometric arithmetic index GA 5 , fourth atom bond connectivity index ABC 4 of double graph, and strong double graph of Dutch Windmill graph D 3 p .

scholarly journals Topological Characterization of Nanosheet Covered by C3 and C6

Processes ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 462
Author(s):  
Sumiya Nasir ◽  
Fozia Bashir Farooq ◽  
Nazeran Idrees ◽  
Muhammad Jawwad Saif ◽  
Fatima Saeed
Keyword(s):  
Chemical Structure ◽  
Chemical Properties ◽  
Topological Indices ◽  
Connectivity Index ◽  
Zagreb Index ◽  
Topological Characterization ◽  
Physical And Chemical ◽  
Atom Bond ◽  
And Chemical Properties

A topological index of a graph is a single numeric quantity which relates the chemical structure with its underlying physical and chemical properties. Topological indices of a nanosheet can help us to understand the properties of the material better. This study deals with computation of degree-dependent topological indices like the Randic index, first Zagreb index, second Zagreb index, geometric arithmetic index, atom bond connectivity index, sum connectivity index and hyper Zagreb index of nanosheet covered by C3 and C6. Furthermore, M-polynomial of the nanosheet is also computed, which provides an alternate way to express the topological indices.

scholarly journals Topological Indices of Para-line Graphs of V-Phenylenic Nanostructures

2019 ◽  
Vol 17 (1) ◽  
pp. 260-266 ◽  
Author(s):  
Imran Nadeem ◽  
Hani Shaker ◽  
Muhammad Hussain ◽  
Asim Naseem
Keyword(s):  
Chemical Properties ◽  
Topological Indices ◽  
Structural Chemistry ◽  
Line Graphs ◽  
Physical And Chemical Properties ◽  
Graph Invariants ◽  
Molecular Graphs ◽  
Physical And Chemical ◽  
And Chemical Properties

Abstract The degree-based topological indices are numerical graph invariants which are used to correlate the physical and chemical properties of a molecule with its structure. Para-line graphs are used to represent the structures of molecules in another way and these representations are important in structural chemistry. In this article, we study certain well-known degree-based topological indices for the para-line graphs of V-Phenylenic 2D lattice, V-Phenylenic nanotube and nanotorus by using the symmetries of their molecular graphs.

On eccentricity-based topological descriptors of water-soluble dendrimers

2018 ◽  
Vol 74 (1-2) ◽  
pp. 25-33 ◽  
Author(s):  
Zahid Iqbal ◽  
Muhammad Ishaq ◽  
Adnan Aslam ◽  
Wei Gao
Keyword(s):  
Molecular Structure ◽  
Chemical Properties ◽  
Topological Indices ◽  
Water Soluble ◽  
Connectivity Index ◽  
Topological Descriptors ◽  
Physical And Chemical Properties ◽  
Eccentric Connectivity Index ◽  
Physical And Chemical ◽  
And Chemical Properties

AbstractPrevious studies show that certain physical and chemical properties of chemical compounds are closely related with their molecular structure. As a theoretical basis, it provides a new way of thinking by analyzing the molecular structure of the compounds to understand their physical and chemical properties. The molecular topological indices are numerical invariants of a molecular graph and are useful to predict their bioactivity. Among these topological indices, the eccentric-connectivity index has a prominent place, because of its high degree of predictability of pharmaceutical properties. In this article, we compute the closed formulae of eccentric-connectivity–based indices and its corresponding polynomial for water-soluble perylenediimides-cored polyglycerol dendrimers. Furthermore, the edge version of eccentric-connectivity index for a new class of dendrimers is determined. The conclusions we obtained in this article illustrate the promising application prospects in the field of bioinformatics and nanomaterial engineering.

scholarly journals M-Polynomials and Associated Topological Indices of Sodalite Materials

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Ghazanfar Abbas ◽  
Muhammad Ibrahim ◽  
Ali Ahmad ◽  
Muhammad Azeem ◽  
Kashif Elahi
Keyword(s):  
Greenhouse Gases ◽  
Topological Index ◽  
Low Cost ◽  
Chemical Properties ◽  
Topological Indices ◽  
Mathematical Tool ◽  
Physical And Chemical Properties ◽  
Natural Zeolites ◽  
Physical And Chemical ◽  
And Chemical Properties

Natural zeolites are commonly described as macromolecular sieves. Zeolite networks are very trendy chemical networks due to their low-cost implementation. Sodalite network is one of the most studied types of zeolite networks. It helps in the removal of greenhouse gases. To study this rich network, we use an authentic mathematical tool known as M-polynomials of the topological index and show some physical and chemical properties in numerical form, and to understand the structure deeply, we compare different legitimate M-polynomials of topological indices, concluding in the form of graphical comparisons.

A Literature Review on the Separation of Chemical Compounds

2018 ◽  
Vol 4 (1) ◽  
pp. 22-31
Author(s):  
Nemah Sahib Mohammed Husien ◽  
Rajaa Abd Alameer Gafel ◽  
Noor Dia Jaffer
Keyword(s):  
Literature Review ◽  
Chemical Properties ◽  
Chemical Compounds ◽  
Physical And Chemical Properties ◽  
Organic Components ◽  
Physical And Chemical ◽  
And Chemical Properties

This  literature  involved  explanation  about  separation organic  components  in  mixture such  as(chromatography ,extraction ,filtration, centrifuge…) , principles of separation  , methods of separation ,types of separation , purification  of separated  compounds , conditions of separation , physical and chemical properties of  mixture.

scholarly journals Topological Aspects of Boron Nanotubes

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Jia-Bao Liu ◽  
Hani Shaker ◽  
Imran Nadeem ◽  
Muhammad Hussain
Keyword(s):  
Thermal Stability ◽  
Electronic Properties ◽  
Chemical Structure ◽  
Chemical Properties ◽  
Topological Indices ◽  
The Other ◽  
Theoretical Studies ◽  
Physical And Chemical Properties ◽  
Physical And Chemical ◽  
And Chemical Properties

The degree-based topological indices are used to correlate the physical and chemical properties of a molecule with its chemical structure. Boron nanotubular structures are high-interest materials due to the presence of multicenter bonds and have novel electronic properties. These materials have some important issues in nanodevice applications like mechanical and thermal stability. Therefore, they require theoretical studies on the other properties. In this paper, we present certain degree-based topological indices such as ABC, the fourth ABC, GA, and the fifth GA indices for boron triangular and boron-α nanotubes.

scholarly journals On topological properties of dominating David derived networks

2016 ◽  
Vol 94 (2) ◽  
pp. 137-148 ◽  
Author(s):  
Muhammad Imran ◽  
Abdul Qudair Baig ◽  
Haidar Ali
Keyword(s):  
Interconnection Networks ◽  
Network Science ◽  
Chemical Properties ◽  
Chemical Compounds ◽  
Topological Indices ◽  
Molecular Topology ◽  
Topological Properties ◽  
Graph Invariant ◽  
Physico Chemical ◽  
Atom Bond

Topological indices are numerical parameters of a graph that characterize its molecular topology and are usually graph invariant. In a QSAR/QSPR study, the physico-chemical properties and topological indices such as the Randić, atom–bond connectivity (ABC), and geometric–arithmetic (GA) indices are used to predict the bioactivity of chemical compounds. Graph theory has found a considerable use in this important area of research. All of the studied interconnection networks in this paper are constructed by the Star of David network. In this paper, we study the general Randić, first Zagreb, ABC, GA, ABC4 and GA5, indices for the first, second, and third types of dominating David derived networks and give closed formulas of these indices for these networks. These results are useful in network science to understand the underlying topologies of these networks.

scholarly journals Pus solvents as new drugs with unique physical and chemical properti

2020 ◽  
Vol 17 (4) ◽  
pp. 89-95
Author(s):  
Alexander L. Urakov
Keyword(s):  
Hydrogen Peroxide ◽  
Sodium Bicarbonate ◽  
Detrimental Effect ◽  
Chemical Properties ◽  
Chemical Compounds ◽  
Biological Tissues ◽  
Local Interaction ◽  
Physical And Chemical Properties ◽  
Physical And Chemical ◽  
And Chemical Properties

The literature review shows that standards for the treatment of purulent diseases to date include antiseptic and disinfectants, but do not include agents that dilute and/or dissolve thick pus. It is shown that the pharmacodynamics of antiseptic and disinfectants consists in the local disinfecting effect of these agents. With local interaction with the surface of living and non-living tissues, these agents are able to sterilize it. It was found that for disinfection of the selected surfaces, these agents are used in solutions that contain these agents in concentrations that provide a denaturing effect. It is shown that denaturing action of antiseptic and disinfectants is a special case of dependence of local action of solutions of all medicines and chemical compounds on their concentration. The fact is that increasing the concentration of chemical compounds in solutions sooner or later turns that solutions into a liquid medium that is not compatible with life. Therefore, this liquid kills all cells of the micro-and macroworld. That is why the use of solutions with denaturing action provides a detrimental effect on the cells of all microorganisms and cells of the macroorganism. With local interaction with the tissues of the macroorganism, the drugs cause the following pharmacological effects: local sterilizing, irritating (local inflammatory) and cauterizing (necrotic) action. Thus solutions with denaturing concentration of one means increase the hardness, other means do not change the hardness, and the third means decrease the hardness of biological tissues, including purulent masses. From this it is concluded that today in the treatment of purulent diseases are used means, detrimental effect on all forms of life, and not means, unidirectionally acting on purulent masses. At the same time, it is shown that some of the modern antiseptic and disinfectants can change the properties of purulent masses in the right direction and optimize their removal by diluting and dissolving the thick pus. It is established that the leaders in the solvent action on thick and sticky pus are sodium bicarbonate solutions in combination with hydrogen peroxide. It is shown that solutions that effectively dissolve thick pus have special physical and chemical properties: all of them have moderate alkaline, temperature, boiling and osmotic activity. Preparations that most effectively dissolve thick pus and most quickly and completely remove it out of the purulent cavities, additionally contain carbon dioxide gas or oxygen gas under excessive pressure. In chronological order are recipes invented hygiene products with special physical and chemical properties, providing them with the ability to quickly and effectively liquefy, dissolve and remove the thick pus out of the purulent cavities. It is shown that a new group of hygiene products was discovered in Russia and was called Solvents of pus. The most effective and safe solvents of pus are warm (heated to a temperature of 42 C) solutions containing 24% sodium bicarbonate and 0.53% hydrogen peroxide.

scholarly journals On the Degree-Based Topological Indices of Some Derived Networks

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 612 ◽  
Author(s):  
Haidar Ali ◽  
Muhammad Ahsan Binyamin ◽  
Muhammad Kashif Shafiq ◽  
Wei Gao
Keyword(s):  
Chemical Structure ◽  
Chemical Properties ◽  
Chemical Compounds ◽  
Wiener Index ◽  
Topological Indices ◽  
Theoretical Chemistry ◽  
Zagreb Index ◽  
Entire Structure ◽  
Physical Chemical ◽  
Chemical Descriptors

There are numeric numbers that define chemical descriptors that represent the entire structure of a graph, which contain a basic chemical structure. Of these, the main factors of topological indices are such that they are related to different physical chemical properties of primary chemical compounds. The biological activity of chemical compounds can be constructed by the help of topological indices. In theoretical chemistry, numerous chemical indices have been invented, such as the Zagreb index, the Randić index, the Wiener index, and many more. Hex-derived networks have an assortment of valuable applications in drug store, hardware, and systems administration. In this analysis, we compute the Forgotten index and Balaban index, and reclassified the Zagreb indices, A B C 4 index, and G A 5 index for the third type of hex-derived networks theoretically.

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