Eccentricity Based Topological Indices of an Oxide Network

Muhammad Imran, Muhammad Kamran Siddiqui, Amna A. E. Abunamous, Dana Adi, Saida Hafsa Rafique and Abdul Qudair Baig
Additional contact information
Muhammad Imran: Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, UAE
Muhammad Kamran Siddiqui: Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, UAE
Amna A. E. Abunamous: Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, UAE
Dana Adi: Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, UAE
Saida Hafsa Rafique: Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, UAE
Abdul Qudair Baig: Department of Mathematics, The University of Lahore, Pakpattan Campus, Pakpattan 57400, Pakistan

Mathematics, 2018, vol. 6, issue 7, 1-13

Abstract: Graph theory has much great advances in the field of mathematical chemistry. Chemical graph theory has become very popular among researchers because of its wide applications in mathematical chemistry. The molecular topological descriptors are the numerical invariants of a molecular graph and are very useful for predicting their bioactivity. A great variety of such indices are studied and used in theoretical chemistry, pharmaceutical researchers, in drugs and in different other fields. In this article, we study the chemical graph of an oxide network and compute the total eccentricity, average eccentricity, eccentricity based Zagreb indices, atom-bond connectivity ( A B C ) index and geometric arithmetic index of an oxide network. Furthermore, we give analytically closed formulas of these indices which are helpful in studying the underlying topologies.

Keywords: molecular graph; total eccentricity; average eccentricity; eccentricity based Zagreb indices; atom bond connectivity index; geometric arithmetic index and oxide network (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/6/7/126/pdf (application/pdf)
https://www.mdpi.com/2227-7390/6/7/126/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:6:y:2018:i:7:p:126-:d:158691

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().