On Topological Indices for New Classes of Benes Network | Zendy

Aftab Hussain | Zendy; Muhammad Numan | Zendy; Nafisa Naz | Zendy; Saad Ihsan Butt | Zendy; Adnan Aslam | Zendy; Asfand Fahad | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On Topological Indices for New Classes of Benes Network

Author(s) -

Aftab Hussain,

Muhammad Numan,

Nafisa Naz,

Saad Ihsan Butt,

Adnan Aslam,

Asfand Fahad

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6690053

Subject(s) - mathematics , multiplicative function , column (typography) , row , topological index , combinatorics , graph , discrete mathematics , geometry , computer science , connection (principal bundle) , mathematical analysis , database

Topological indices (TIs) transform a molecular graph into a number. The TIs are a vital tool for quantitative structure activity relationship (QSAR) and quantity structure property relationship (QSPR). In this paper, we constructed two classes of Benes network: horizontal cylindrical Benes network and vertical cylindrical Benes network obtained by identification of vertices of first rows with last row and first column with last column of Benes network, respectively. We derive analytical close formulas for general Randic connectivity index, general Zagreb, first and the second Zagreb (and multiplicative Zagreb), general sum connectivity, atom-bond connectivity ( ), and geometric arithmetic index of the two classes of Benes networks. Also, the fourth version of and the fifth version of indices are computed for these classes of networks.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research