TY - JOUR

T1 - Eccentricity based topological indices of an oxide network

AU - Imran, Muhammad

AU - Siddiqui, Muhammad Kamran

AU - Abunamous, Amna A.E.

AU - Adi, Dana

AU - Rafique, Saida Hafsa

AU - Baig, Abdul Qudair

N1 - Funding Information:
Acknowledgments: The authors are grateful to the anonymous referees for their valuable comments and suggestions that improved this paper. This research is supported by the Start-Up Research Grant 2016 of United Arab Emirates University (UAEU), Al Ain, United Arab Emirates via Grant No. G00002233, UPAR Grant of UAEU via Grant No. G00002590 and by the Summer Undergraduate Research Experience (SURE) plus 2017 research Grant via Grant No. G00002412.
Publisher Copyright:
© 2018 by the authors.

PY - 2018/7/18

Y1 - 2018/7/18

N2 - 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 (ABC) 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.

AB - 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 (ABC) 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.

KW - Atom bond connectivity index

KW - Average eccentricity

KW - Eccentricity based Zagreb indices

KW - Geometric arithmetic index and oxide network

KW - Molecular graph

KW - Total eccentricity

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U2 - 10.3390/math6070126

DO - 10.3390/math6070126

M3 - Article

AN - SCOPUS:85050281794

VL - 6

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 7

M1 - 126

ER -