  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.
