Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.14720/4

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Browsing Scopus İndeksli Yayınlar Koleksiyonu by Publisher "Abdus Salam School of Mathematical Sciences"

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    Mathematical Properties of Inverse Sum Index Eccentric Coindices of Graphs
    (Abdus Salam School of Mathematical Sciences, 2024) Farahani, M.R.; Pattabiraman, K.; Sudharsan, S.; Patil, S.V.; Alaeiyan, M.; Cancan, M.
    Essential and widely studied topological indices, including the well-known Zagreb indices (M1 and M2), and the newly proposed Inverse Sum Indeg Eccentricity Index (ξISI), 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 (ξISI), 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 ξISI 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 ξISI using several graph products. © 2024 Abdus Salam School of mathematical Sciences. All rights reserved.