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APPLICATION OF SOME TOPOLOGICAL INDICES IN NOVER TOPOLOGIZED GRAPHS
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ORDINARY APPLICATION
Published
Filed on 11 November 2024
Abstract
A lot of topological indices are available in chemical-graph theory and H. Wiener proposed the first index to estimate the boiling point of alkanes called ‘Wiener index’. Neutrosophic over strong graph theory is more efficient and accurate results than other existing methods. We present topology indices such as Zagreb index, Randic index, Geometric-arithmetic index, Hormonic index are discussed in neutrosophic over strong graphs. Some of their properties, develop relationship among them and their application.
Patent Information
Application ID | 202441086664 |
Invention Field | BIO-MEDICAL ENGINEERING |
Date of Application | 11/11/2024 |
Publication Number | 47/2024 |
Inventors
Name | Address | Country | Nationality |
---|---|---|---|
Dr.G.MUTHUMARI | Assistant Professor, Department of Mathematics, Veeraraghavapuram, Chennai-600077. | India | India |
Dr.G.DIVYA | Assistant Professor, Department of Mathematics, Veeraraghavapuram, Chennai-600077. | India | India |
K.KAVITHA | Assistant Professor, Department of Mathematics, Veeraraghavapuram, Chennai-600077. | India | India |
V.SEETHALAKSHMI | Department of Mathematics, Veeraraghavapuram, Chennai-600077. | India | India |
Applicants
Name | Address | Country | Nationality |
---|---|---|---|
Dr.G.MUTHUMARI | Assistant Professor, Department of Mathematics, Veeraraghavapuram, Chennai-600077. | India | India |
Dr.G.DIVYA | Assistant Professor, Department of Mathematics, Veeraraghavapuram, Chennai-600077. | India | India |
K.KAVITHA | Assistant Professor, Department of Mathematics, Veeraraghavapuram, Chennai-600077. | India | India |
V.SEETHALAKSHMI | Department of Mathematics, Veeraraghavapuram, Chennai-600077. | India | India |
S.A. ENGINEERING COLLEGE | Department of Mathematics, Veeraraghavapuram, Chennai-600077. | India | India |
Specification
INTRODUCTION
A lot of topological indices are available in chemical-graph theory and H. Wiener proposed the first index to estimate the boiling point of alkanes called 'Wiener index'. Wiener was introduced two parameters.for the specific purpose of correlating the boiling points of members of the alkane series of molecular structure which satisfied a linear formula tB = aW + bP + c where tB is the boiling point of a given alkane, W is the wiener number, P is the polarity number and
a, b, c are constants. A topological representing of a molecule structure is called molecule graph which is a collection of points representing the atoms in the molecule and set of lines representing the covalent bonds. A hydrogen-detected graph is a molecular graph in which hydrogen atoms are not considered. Neutrosophic over strong graph theory is more efficient and accurate results than other existing methods. Some topology indices such as Zagreb index, Randic index, Geometric-arithmetic index, Hormonic index are discussed in neutrosophic over strong graphs. Some of their properties, develop relationship among them and their application.
BACK GROUND
Most of the administration in the society, they depends the supporters than on themself.
The application of dominating set and connecting index of Nover Top graph is expressed as a following example. An office decide to appoint a head under 8 employees.The employess are assumed to be a,b,c,d,e,f,g,h. In this Nover Top graph, the employees and strength between them are considered as vertex and edges. The true membership, inderterminancy and false membership is taken as a vertex. The true membership value is based on employees talent, work experience and salary basis. The inderterminancy membership function are considered as the persons with ability and skill but do not work in the suitable task. The false membership function is considered as be the lack of compatibility between educational major and occupation, lack of ability, non-skill and health issue.
CONCLUSION
The concepts of some topological indices for Neutrosophic over topologized graphs by using strong domination. It is an easy way to calculate the connectivity index. So we use the new method that is strong domination to find and calculate the connectivity index. These concepts are also illustrated with real-time examples.
We Claim:
1. We use Neutrosophic over topologized graphs by using strong domination. It is an easy way to calculate the connectivity index for identifying head especially students and workers for the improvement of academics and industry wise.
2. We claim that through this report the analysis of the proper data guidance the academics and industry wise segments can be improved gradually.
Documents
Name | Date |
---|---|
202441086664-Form 1-111124.pdf | 13/11/2024 |
202441086664-Form 2(Title Page)-111124.pdf | 13/11/2024 |
202441086664-Form 3-111124.pdf | 13/11/2024 |
202441086664-Form 5-111124.pdf | 13/11/2024 |
202441086664-Form 9-111124.pdf | 13/11/2024 |
202441086664-FORM28-111124.pdf | 13/11/2024 |
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