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 - 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
SN - 2227-7390
VL - 6
JO - Mathematics
JF - Mathematics
IS - 7
M1 - 126
ER -