TY - JOUR
T1 - Computing multiple ABC index and multiple GA index of some grid graphs
AU - Wei, Gao
AU - Siddiqui, Muhammad Kamran
AU - Naeem, Muhammad
AU - Imran, Muhammad
N1 - Funding Information:
Acknowledgement: 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 and UPAR Grant of UAEU via Grant No. G00002590.
Publisher Copyright:
© 2018 Wei Gao et al., published by De Gruyter 2018.
PY - 2018/10/16
Y1 - 2018/10/16
N2 - Topological indices are the atomic descriptors that portray the structures of chemical compounds and they help us to anticipate certain physico-compound properties like boiling point, enthalpy of vaporization and steadiness. The atom bond connectivity (ABC) index and geometric arithmetic (GA) index are topological indices which are defined as ABC(G)=respectively, where du is the degree of the vertex u. The aim of this paper is to introduced the new versions of ABC index and GA index namely multiple atom bond connectivity (ABC) index and multiple geometric arithmetic (GA) index. As an application, we have computed these newly defined indices for the octagonal grid Opq, the hexagonal grid H(p, q) and the square grid Gp, q. Also, we compared these results obtained with the ones by other indices like the ABC4 index and the GA5 index.
AB - Topological indices are the atomic descriptors that portray the structures of chemical compounds and they help us to anticipate certain physico-compound properties like boiling point, enthalpy of vaporization and steadiness. The atom bond connectivity (ABC) index and geometric arithmetic (GA) index are topological indices which are defined as ABC(G)=respectively, where du is the degree of the vertex u. The aim of this paper is to introduced the new versions of ABC index and GA index namely multiple atom bond connectivity (ABC) index and multiple geometric arithmetic (GA) index. As an application, we have computed these newly defined indices for the octagonal grid Opq, the hexagonal grid H(p, q) and the square grid Gp, q. Also, we compared these results obtained with the ones by other indices like the ABC4 index and the GA5 index.
KW - Atom-bond-connectivity index
KW - geometricarithmetic index
KW - hexagonal grid
KW - octagonal grid
KW - square grid
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U2 - 10.1515/phys-2018-0077
DO - 10.1515/phys-2018-0077
M3 - Article
AN - SCOPUS:85055977135
SN - 1895-1082
VL - 16
SP - 588
EP - 598
JO - Open Physics
JF - Open Physics
IS - 1
ER -