Geometric arithmetic and mostar indices of P2n+F Pn+1

Cancan, Murat; Aslam, Aneela; Gao, Wei; Baig, Abdul Qudair

doi:10.1080/02522667.2020.1745382

Cited by 6 publications

(1 citation statement)

References 29 publications

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“…On the other hand, one may pay attention to the relationship between the Mostar index and some other graph invariants such as irregularity, geometric arithmetic and so on. For more details, one may be referred to References [2, 30, 31]. Along this line, it is interesting to study the relation between the Mostar index (resp.…”

Section: Discussionmentioning

confidence: 99%

Extremal Mostar indices of tree‐like polyphenyls

Deng

2020

Int J of Quantum Chemistry

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Given a graph G, the Mostar index Mo(G) is the sum of absolute values of the differences between nu(e) and nv(e) over all edges e = uv of G, where nu(e) and nv(e) are, respectively, the number of vertices of G lying closer to u than to v and the number of vertices of G lying closer to v than to u. A tree‐like polyphenyl is a polycyclic aromatic hydrocarbon consisting of benzene rings, whose chemical graph will tend to a tree after contracting each hexagon into a vertex (the tree is called a contracted tree). A polyphenyl chain is a tree‐like polyphenyl whose contracted tree is a path. In this paper, those polyphenyl chains with n benzene rings having the least, the second least, the greatest and the second greatest Mostar indices are determined, respectively. Those tree‐like polyphenyls with n benzene rings having the least and the second least Mostar indices are also identified. What is more, some properties of those tree‐like polyphenyls with n benzene rings having the greatest Mostar index are obtained. At the end we state some further research problems.

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Section: Discussionmentioning

confidence: 99%