The upper bounds on the Steiner k-Wiener index in terms of minimum and maximum degrees

Zhang, Wanping; Meng, Jixiang; Wu, Baoyindureng

doi:10.1007/s10878-022-00887-6

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2025

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“…Pandey and Patra [13] characterized the extreme Wiener index of graphs with n vertices and k pendant vertices. More related contributions in Wiener index can be referred to Zhang et al [14] and Dobrynin [15]. More engineering applications can be referred to Umar et al [16], Ayub et al [17], Sabir et al [18], Ayub et al [19], Shah et al [20], Shah et al [21], Sabir et al [22], Sabir and Ben Said [23] and Sabir [24].…”

Section: Introductionmentioning

confidence: 99%

Remarks on bipolar cubic fuzzy graphs and its chemical applications

Zhu

Gao

2023

International Journal of Mathematics and Computer in Engineering

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In theoretical chemistry, fuzzy molecular graphs can be used to model chemical molecular structures with uncertainty information, where the vertex membership function and edge membership function describe the uncertainty of atoms and chemical bonds respectively. This paper studies chemical topological index of bipolar cubic fuzzy graphs. The new concepts and theorems are given in terms of graph theory and fuzzy set theory approaches and several theoretical conclusions on bipolar Wiener index of bipolar cubic fuzzy graphs are determined. Furthermore, we apply it in chemical science and calculate the bipolar Wiener index of dimethyltryptamine and hallucinogen which are modelled by bipolar cubic fuzzy graphs.

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