<p>Entropy measures are critical to characterizing the structural and information complexity of the network. The antizeolite-type structure is examined in this study through graph theory using the computation of several Zagreb-type indices and their respective entropy measures. Special attention is given to the use of the Pearson correlation coefficient to study the strength and character of the relationship between the indices and the values of the corresponding entropy measures. With extensive mathematical derivation and computation through Python, we uncover strong positive correlations revealing the character of structural graph parameters impacting informational uncertainty. These results provide an integrated comprehension of the topological features and the behavior of the antizeolite network’s entropy.</p>

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A statistical correlation of entropy measures and zagreb indices in antizeolite networks via pearson analysis

  • Muhammad Farhan Hanif,
  • Atef F. Hashem,
  • Mazhar Hussain,
  • Muhammad Kamran Siddiqui

摘要

Entropy measures are critical to characterizing the structural and information complexity of the network. The antizeolite-type structure is examined in this study through graph theory using the computation of several Zagreb-type indices and their respective entropy measures. Special attention is given to the use of the Pearson correlation coefficient to study the strength and character of the relationship between the indices and the values of the corresponding entropy measures. With extensive mathematical derivation and computation through Python, we uncover strong positive correlations revealing the character of structural graph parameters impacting informational uncertainty. These results provide an integrated comprehension of the topological features and the behavior of the antizeolite network’s entropy.