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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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Published in: | International journal of quantum chemistry 2023-08, Vol.123 (15), p.n/a |
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description | 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. |
doi_str_mv | 10.1002/qua.27127 |
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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.</description><identifier>ISSN: 0020-7608</identifier><identifier>EISSN: 1097-461X</identifier><identifier>DOI: 10.1002/qua.27127</identifier><language>eng</language><publisher>Hoboken, USA: John Wiley & Sons, Inc</publisher><subject>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</subject><ispartof>International journal of quantum chemistry, 2023-08, Vol.123 (15), p.n/a</ispartof><rights>2023 Wiley Periodicals LLC.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2977-ae59923b218142217b683196495de003b7cb217806f9d8d2542f23f8596b38693</citedby><cites>FETCH-LOGICAL-c2977-ae59923b218142217b683196495de003b7cb217806f9d8d2542f23f8596b38693</cites><orcidid>0000-0002-5749-0608</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fqua.27127$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fqua.27127$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>315,786,790,27957,27958,50923,51032</link.rule.ids></links><search><creatorcontrib>Qasim, Muhammad</creatorcontrib><creatorcontrib>Shaker, Hani</creatorcontrib><creatorcontrib>Zobair, Mian Muhammad</creatorcontrib><title>Topological indices and entropy of twisted cylinder‐nonorientable hexagonal Mobius strip</title><title>International journal of quantum chemistry</title><description>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.</description><subject>Chemistry</subject><subject>Cylinders</subject><subject>Degree Based topological indices</subject><subject>Euclidean geometry</subject><subject>Heat of formation</subject><subject>Hexagonal mobius strip</subject><subject>Mobius strip</subject><subject>Physical chemistry</subject><subject>Polynomials</subject><subject>Quantum physics</subject><subject>Strip</subject><subject>Topological Indices</subject><subject>Topology</subject><issn>0020-7608</issn><issn>1097-461X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp10MtKxDAUBuAgCo6jC98g4MpFZ3Jpc1kO4g1GRJgBcRPSNh0z1KaTtIzd-Qg-o09itG5dncX5zs_hB-AcoxlGiMx3vZ4Rjgk_ABOMJE9Shp8PwSTuUMIZEsfgJIQtQohRxifgZeVaV7uNLXQNbVPawgSomxKapvOuHaCrYLe3oTMlLIY6CuO_Pj4b1zhvo9F5beCredcb18SEB5fbPsDQeduegqNK18Gc_c0pWN9cr67ukuXj7f3VYpkURHKeaJNJSWhOsMApIZjnTFAsWSqz0iBEc17EHReIVbIUJclSUhFaiUyynAom6RRcjLmtd7vehE5tXe_jN0ERQQSSMU5EdTmqwrsQvKlU6-2b9oPCSP1Up2J16re6aOej3dvaDP9D9bRejBffvX9wvg</recordid><startdate>20230805</startdate><enddate>20230805</enddate><creator>Qasim, Muhammad</creator><creator>Shaker, Hani</creator><creator>Zobair, Mian Muhammad</creator><general>John Wiley & Sons, Inc</general><general>Wiley Subscription Services, Inc</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-5749-0608</orcidid></search><sort><creationdate>20230805</creationdate><title>Topological indices and entropy of twisted cylinder‐nonorientable hexagonal Mobius strip</title><author>Qasim, Muhammad ; Shaker, Hani ; Zobair, Mian Muhammad</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2977-ae59923b218142217b683196495de003b7cb217806f9d8d2542f23f8596b38693</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Chemistry</topic><topic>Cylinders</topic><topic>Degree Based topological indices</topic><topic>Euclidean geometry</topic><topic>Heat of formation</topic><topic>Hexagonal mobius strip</topic><topic>Mobius strip</topic><topic>Physical chemistry</topic><topic>Polynomials</topic><topic>Quantum physics</topic><topic>Strip</topic><topic>Topological Indices</topic><topic>Topology</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Qasim, Muhammad</creatorcontrib><creatorcontrib>Shaker, Hani</creatorcontrib><creatorcontrib>Zobair, Mian Muhammad</creatorcontrib><collection>CrossRef</collection><jtitle>International journal of quantum chemistry</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Qasim, Muhammad</au><au>Shaker, Hani</au><au>Zobair, Mian Muhammad</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Topological indices and entropy of twisted cylinder‐nonorientable hexagonal Mobius strip</atitle><jtitle>International journal of quantum chemistry</jtitle><date>2023-08-05</date><risdate>2023</risdate><volume>123</volume><issue>15</issue><epage>n/a</epage><issn>0020-7608</issn><eissn>1097-461X</eissn><abstract>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.</abstract><cop>Hoboken, USA</cop><pub>John Wiley & Sons, Inc</pub><doi>10.1002/qua.27127</doi><tpages>15</tpages><orcidid>https://orcid.org/0000-0002-5749-0608</orcidid></addata></record> |
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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 |
title | Topological indices and entropy of twisted cylinder‐nonorientable hexagonal Mobius strip |
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