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arXiv · 2109.15123

Demystifying Algorithmic Complexities and Geometric Review of the 'h'-Index

Kaushik Ghosh·Mayukh Mukhopadhyay
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Abstract

The current discourse delves into the effectiveness of h-index as an author level metric. It further reviews and explains the algorithmic complexity of calculating h-index through algebraic method. To conduct the algebraic analysis propositional algebra, algorithm and coding techniques have been used. Some use cases have been identified with a finite-data-set/set-of-array to demonstrate the coding techniques and for further analysis. Finally, the explanation and calculative complexities to determine the index have been further simplified through geometric method of calculating the h-index using the similar use cases that was used for coding. It is concluded that determination of the h-index using Euclidean geometric method with Cartesian frame of reference provides a through and visual clarification. Finally, a set of postulates has been proposed at the end of the paper, based on the case studies.

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Kaushik Ghosh, Mayukh Mukhopadhyay. 2021-09-28. Demystifying Algorithmic Complexities and Geometric Review of the 'h'-Index. https://doi.org/10.5281/zenodo.5654779

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