The sharp bounds on general sum-connectivity index of four operations on graphs

Abstract The general sum-connectivity index χ α ( G ) $\chi_{\alpha}(G)$ , for a (molecular) graph G, is defined as the sum of the weights ( d G ( a 1 ) + d G ( a 2 ) ) α $(d_{G}(a_{1})+d_{G}(a_{2}))^{\alpha}$ of all a 1 a 2 ∈ E ( G ) $a_{1}a_{2}\in E(G)$ , where d G ( a 1 ) $d_{G}(a_{1})$ (or d G (...

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Bibliographic Details
Main Authors: Shehnaz Akhter, Muhammad Imran
Format: Article
Language:English
Published: SpringerOpen 2016-09-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1186-x