Topological indices and entropy of twisted cylinder‐nonorientable hexagonal Mobius strip

Mobius strip is an infinite loop having one‐sided surface with no boundaries, also known as twisted cylinder. Möbius strips being widely used in different fields of engineering are of important nature in research. Being different in sizes and shapes, these can be visualized in Euclidean space but fe...

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Bibliographic Details
Published in:International journal of quantum chemistry 2023-08, Vol.123 (15), p.n/a
Main Authors: Qasim, Muhammad, Shaker, Hani, Zobair, Mian Muhammad
Format: Article
Language:English
Subjects:
Chemistry
Cylinders
Degree Based topological indices
Euclidean geometry
Heat of formation
Hexagonal mobius strip
Mobius strip
Physical chemistry
Polynomials
Quantum physics
Strip
Topological Indices
Topology
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Summary:Mobius strip is an infinite loop having one‐sided surface with no boundaries, also known as twisted cylinder. Möbius strips being widely used in different fields of engineering are of important nature in research. Being different in sizes and shapes, these can be visualized in Euclidean space but few cannot be. Topology of Mobius strips makes it a rare Euclidean representation of the infinite nature. Researchers expanded this concept and generalized it in the form of Klein bottles. In this article, we have derived various polynomials and respective topological indices for the Hexagonal Möbius graphs having each face as a hexagon. Also, inverse relationship between heat of formation and crystal size is developed for the calculated indices. Mobius strip is an infinite loop having one‐sided surface with no boundaries. It defies common sense and also has some curious mathematical properties that expanded knowledge and promoted the development of topology. These strips are aimed to make more durable devices, which make them more interesting. Topology of Mobius strips makes it a rare Euclidean representation of the infinite nature. Researchers expanded this concept and generalized it in the form of Klein bottles.
ISSN:0020-7608
1097-461X
DOI:10.1002/qua.27127