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<p>In this paper, we investigate the structural and topological properties of two-dimensional nickel-based organometallic frameworks (2D Ni-MOFs) using various topological descriptors and entropy measures. The frameworks are analyzed by calculating degree-based, edge-based, and Shannon entropy measures to quantify structural complexity and connectivity patterns. Additionally, logarithmic regression models are applied to establish the relationship between entropy measures and topological indices. The results demonstrate that entropy measures effectively capture the structural characteristics of the networks, with logarithmic models providing excellent fits, as evidenced by high <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11696_2025_4173_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\(R^2\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>R</mi> <mn>2</mn> </msup> </math></EquationSource> </InlineEquation> values. Violin plots are used to represent the distribution of entropy values and how they correlate with the respective topological indices. This article offers insightful information on the application of topological descriptors and entropy values in the exploration of complex networks and offers a useful approach to interpreting the structural characteristics of two-dimensional nickel-based organometallic frameworks.</p>

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On analysis of two-dimensional nickel-based organometallic network via statistical method

  • 期刊论文

  • 发表日期：

    2025年6月19日

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  • Muhammad Farhan Hanif,
  • Mazhar Hussain,
  • Muhammad Kamran Siddiqui,
  • Ebraheem Alzahrani,
  • Zeeshan Saleem Mufti

摘要

In this paper, we investigate the structural and topological properties of two-dimensional nickel-based organometallic frameworks (2D Ni-MOFs) using various topological descriptors and entropy measures. The frameworks are analyzed by calculating degree-based, edge-based, and Shannon entropy measures to quantify structural complexity and connectivity patterns. Additionally, logarithmic regression models are applied to establish the relationship between entropy measures and topological indices. The results demonstrate that entropy measures effectively capture the structural characteristics of the networks, with logarithmic models providing excellent fits, as evidenced by high \(R^2\) R 2 values. Violin plots are used to represent the distribution of entropy values and how they correlate with the respective topological indices. This article offers insightful information on the application of topological descriptors and entropy values in the exploration of complex networks and offers a useful approach to interpreting the structural characteristics of two-dimensional nickel-based organometallic frameworks.