On Clique Sombor Index of Graphs and Their Properties.
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| Title: | On Clique Sombor Index of Graphs and Their Properties. |
|---|---|
| Authors: | Thrivikram, T. P.1 vicky.aniangroups@gmail.com, Bhat, K. Arathi2 arathi.bhat@manipal.edu, DSilva, Sunita Priya3 sunita.math@sahyadri.edu.in, Bhat, Smitha Ganesh1 smitha.holla@manipal.edu |
| Source: | Engineering Letters. Feb2026, Vol. 34 Issue 2, p468-476. 9p. |
| Subjects: | QSAR models, Regular graphs |
| Abstract: | We introduce the Clique Sombor index (CS index), a new degree-based topological index defined using the vertex clique degree of a graph. Basic bounds and relations with classical indices are established. Exact formulas are derived for standard graphs such as paths, cycles, complete graphs, complete bipartite graphs, wheels, ladders, friendship graphs, windmill graphs, Dutch windmill graphs, and grids. Closed expressions are also obtained for cactus chains, including triangle chains, para-chain square cacti, ortho-chain hexagon cacti, and para-chain hexagon cacti. The results highlight the mathematical richness of the CS index and its potential applications in QSPR and QSAR studies. [ABSTRACT FROM AUTHOR] |
| Copyright of Engineering Letters is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 191342732 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: On Clique Sombor Index of Graphs and Their Properties. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Thrivikram%2C+T%2E+P%2E%22">Thrivikram, T. P.</searchLink><relatesTo>1</relatesTo><i> vicky.aniangroups@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Bhat%2C+K%2E+Arathi%22">Bhat, K. Arathi</searchLink><relatesTo>2</relatesTo><i> arathi.bhat@manipal.edu</i><br /><searchLink fieldCode="AR" term="%22DSilva%2C+Sunita+Priya%22">DSilva, Sunita Priya</searchLink><relatesTo>3</relatesTo><i> sunita.math@sahyadri.edu.in</i><br /><searchLink fieldCode="AR" term="%22Bhat%2C+Smitha+Ganesh%22">Bhat, Smitha Ganesh</searchLink><relatesTo>1</relatesTo><i> smitha.holla@manipal.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Engineering+Letters%22">Engineering Letters</searchLink>. Feb2026, Vol. 34 Issue 2, p468-476. 9p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22QSAR+models%22">QSAR models</searchLink><br /><searchLink fieldCode="DE" term="%22Regular+graphs%22">Regular graphs</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We introduce the Clique Sombor index (CS index), a new degree-based topological index defined using the vertex clique degree of a graph. Basic bounds and relations with classical indices are established. Exact formulas are derived for standard graphs such as paths, cycles, complete graphs, complete bipartite graphs, wheels, ladders, friendship graphs, windmill graphs, Dutch windmill graphs, and grids. Closed expressions are also obtained for cactus chains, including triangle chains, para-chain square cacti, ortho-chain hexagon cacti, and para-chain hexagon cacti. The results highlight the mathematical richness of the CS index and its potential applications in QSPR and QSAR studies. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Engineering Letters is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 468 Subjects: – SubjectFull: QSAR models Type: general – SubjectFull: Regular graphs Type: general Titles: – TitleFull: On Clique Sombor Index of Graphs and Their Properties. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Thrivikram, T. P. – PersonEntity: Name: NameFull: Bhat, K. Arathi – PersonEntity: Name: NameFull: DSilva, Sunita Priya – PersonEntity: Name: NameFull: Bhat, Smitha Ganesh IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 02 Text: Feb2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 1816093X Numbering: – Type: volume Value: 34 – Type: issue Value: 2 Titles: – TitleFull: Engineering Letters Type: main |
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