A note on general sum-connectivity index

Author:

Phanjoubam Chinglensana,Mawiong SainkuparORCID

Abstract

For a simple finite graph G, general sum-connectivity index is defined for any real number α as χα(G) = , which generalises both the first Zagreb index and the ordinary sum-connectivity index. In this paper, we present some new bounds for the general sum-connectivity index. We also present relation between general sum-connectivity index and general Randić index.

Publisher

Universidad Catolica del Norte - Chile

Subject

General Mathematics

Reference21 articles.

1. [1] A. Ali, M. Javaid, M. Matejić, I. Milovanović and E. Milovanović, "Some new bounds on the general sum-connectivity index", Communications in Combinatorics and Optimization, vol. 5, no. 2, pp. 97-109, 2020.

2. [2] B. Borovićanin, K.C. Das, B. Furtula and I. Gutman, "Bounds for Zagreb Indices", MATCH Commun. Math. Comput. Chem., vol. 78, pp. 17-100, 2017.

3. [3] Z. Chea and Z. Chen, "Lower and upper bounds of the forgotten topological index", MATCH Commun. Math. Comput. Chem., vol. 76, pp. 635-648, 2016.

4. [4] Z. Cvetkovski, Inequalities. Springer, Berlin, 2012.

5. [5] T. Došlić, "Vertex-Weighted Wiener Polynomials for Composite Graphs", Ars Math. Contemp., vol. 1, pp. 66-80, 2008.

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