Mathematical Properties of Inverse Sum Index Eccentric Coindices of Graphs
| dc.contributor.author | Farahani, M.R. | |
| dc.contributor.author | Pattabiraman, K. | |
| dc.contributor.author | Sudharsan, S. | |
| dc.contributor.author | Patil, S.V. | |
| dc.contributor.author | Alaeiyan, M. | |
| dc.contributor.author | Cancan, M. | |
| dc.date.accessioned | 2026-01-30T18:37:32Z | |
| dc.date.available | 2026-01-30T18:37:32Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | Essential and widely studied topological indices, including the well-known Zagreb indices (M<inf>1</inf> and M<inf>2</inf>), and the newly proposed Inverse Sum Indeg Eccentricity Index (ξ<inf>ISI</inf>), To ensure the contributions of all edges within a graph are effectively considered. By emphasizing on the total eccentricity of non-adjacent vertices, Hua et al. introduced the eccentric connectivity coindex (ξc). Inspired by their contributions, we introduce the inverse sum indeg eccentric coindex (ξ<inf>ISI</inf>), which is defined as the ratio of the product of the eccentricities to the sum of the eccentricities for all isolated pair of vertex in a connected graph. This study primarily aims to establish various bounds for ξ<inf>ISI</inf> in finite simple graphs and derives the values of the proposed indices for two specific graph constructions. Additionally, we present a comprehensive set of relationships for ξ<inf>ISI</inf> using several graph products. © 2024 Abdus Salam School of mathematical Sciences. All rights reserved. | en_US |
| dc.identifier.issn | 1817-3462 | |
| dc.identifier.scopus | 2-s2.0-105027316514 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/29758 | |
| dc.language.iso | en | en_US |
| dc.publisher | Abdus Salam School of Mathematical Sciences | en_US |
| dc.relation.ispartof | Journal of Prime Research in Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Eccentricity of a Vertex | en_US |
| dc.subject | Graph Products | en_US |
| dc.subject | Topological Index | en_US |
| dc.title | Mathematical Properties of Inverse Sum Index Eccentric Coindices of Graphs | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 57190155028 | |
| gdc.author.scopusid | 53364242400 | |
| gdc.author.scopusid | 60330627200 | |
| gdc.author.scopusid | 57219651954 | |
| gdc.author.scopusid | 6507002237 | |
| gdc.author.scopusid | 35185892900 | |
| gdc.description.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| gdc.description.departmenttemp | [Farahani] Mohammad Reza Dastjani, Department of Mathematics and Computer Science, Iran University of Science and Technology, Tehran, Tehran, Iran; [Pattabiraman] Kannan, Department of Mathematics, Government Arts College (Autonomous), Kumbakonam, TN, India; [Sudharsan] S., Department of Mathematics, Annamalai University, Chidambaram, TN, India; [Patil] Shobha V., Department of Mathematics, KLE Dr. M. S. Sheshgiri College of Engineering and Technology, Belagavi, India; [Alaeiyan] Mehdi, Department of Mathematics and Computer Science, Iran University of Science and Technology, Tehran, Tehran, Iran; [Cancan] Murat, Department of Mathematics, Van Yüzüncü Yıl Üniversitesi, Van, Turkey | en_US |
| gdc.description.endpage | 98 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 81 | en_US |
| gdc.description.volume | 20 | en_US |
| gdc.description.wosquality | N/A | |
| gdc.index.type | Scopus |