Multiplicative Topological Indices of Linear Functional Graphs over Finite Dimensional Vector Spaces.
Saved in:
| Title: | Multiplicative Topological Indices of Linear Functional Graphs over Finite Dimensional Vector Spaces. |
|---|---|
| Authors: | Lingan, Vinnarasi1 vinnilingan10@gmail.com, Gnanaprakasam, Kalaimurugan2 kalaimurugan@gmail.com, Manuvelleenas, Vimal1 vimalleenas@gmail.com |
| Source: | IAENG International Journal of Computer Science. Sep2025, Vol. 52 Issue 9, p3098-3113. 16p. |
| Subjects: | Topological graph theory, Vector spaces |
| Abstract: | In this study, we derive several notable topological indices for linear functional graphs over finite dimensional vector spaces. In particular, we obtain certain novel topological indices, such as the multiplicative degree-based topological indices for Zagreb and Hyper Zagreb. In addition to these, we investigated certain noteworthy geometric arithmetic indices in their generalized forms. Reverse multiplicative indices utilize this idea to analyze the inverse of these products, providing an alternate method for measuring connectedness or other structural features of a graph. Refined indices extend classic topological measurements by taking into an account deeper interactions between degrees or higher-order connections, resulting in a more comprehensive representation of network and graph structure. Revan indices are proposed as an extension of traditional degree-based metrics, offering higher sensitivity to subtle structural differences in network topology and effectively distinguishing non-isomorphic graphs with identical global features. Furthermore, we explore elliptic Sombor indices as a novel variant that captures degree-based structural nuances through elliptic functional transformations, enhancing the analytical resolution of graph invariants. [ABSTRACT FROM AUTHOR] |
| Copyright of IAENG International Journal of Computer Science 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 |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 187681923 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Multiplicative Topological Indices of Linear Functional Graphs over Finite Dimensional Vector Spaces. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Lingan%2C+Vinnarasi%22">Lingan, Vinnarasi</searchLink><relatesTo>1</relatesTo><i> vinnilingan10@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Gnanaprakasam%2C+Kalaimurugan%22">Gnanaprakasam, Kalaimurugan</searchLink><relatesTo>2</relatesTo><i> kalaimurugan@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Manuvelleenas%2C+Vimal%22">Manuvelleenas, Vimal</searchLink><relatesTo>1</relatesTo><i> vimalleenas@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Computer+Science%22">IAENG International Journal of Computer Science</searchLink>. Sep2025, Vol. 52 Issue 9, p3098-3113. 16p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Topological+graph+theory%22">Topological graph theory</searchLink><br /><searchLink fieldCode="DE" term="%22Vector+spaces%22">Vector spaces</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this study, we derive several notable topological indices for linear functional graphs over finite dimensional vector spaces. In particular, we obtain certain novel topological indices, such as the multiplicative degree-based topological indices for Zagreb and Hyper Zagreb. In addition to these, we investigated certain noteworthy geometric arithmetic indices in their generalized forms. Reverse multiplicative indices utilize this idea to analyze the inverse of these products, providing an alternate method for measuring connectedness or other structural features of a graph. Refined indices extend classic topological measurements by taking into an account deeper interactions between degrees or higher-order connections, resulting in a more comprehensive representation of network and graph structure. Revan indices are proposed as an extension of traditional degree-based metrics, offering higher sensitivity to subtle structural differences in network topology and effectively distinguishing non-isomorphic graphs with identical global features. Furthermore, we explore elliptic Sombor indices as a novel variant that captures degree-based structural nuances through elliptic functional transformations, enhancing the analytical resolution of graph invariants. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IAENG International Journal of Computer Science 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.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=187681923 |
| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 16 StartPage: 3098 Subjects: – SubjectFull: Topological graph theory Type: general – SubjectFull: Vector spaces Type: general Titles: – TitleFull: Multiplicative Topological Indices of Linear Functional Graphs over Finite Dimensional Vector Spaces. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Lingan, Vinnarasi – PersonEntity: Name: NameFull: Gnanaprakasam, Kalaimurugan – PersonEntity: Name: NameFull: Manuvelleenas, Vimal IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 1819656X Numbering: – Type: volume Value: 52 – Type: issue Value: 9 Titles: – TitleFull: IAENG International Journal of Computer Science Type: main |
| ResultId | 1 |
