Impact of Author indexing from the Co-authorship Relation

As the the quality of research and spectrum of the publications are improving day by day, the citation parameter h-index [1] alone seems not sufficient to measure authors' performance. The citation is the relationship between two papers when one paper refers to another paper. In way to resolve the said issue, in this paper we have introduced a new author indexing parameter,
$\mathbf{h}_{c}$
-index based on the influence of the co-authors' h-index level. Our newly introduced index
$(\mathbf{h}_{c})$
looks through the co-authorship genealogy tree of an author and subsequently measures the related citation impacts created by every coauthors. This mechanism gives more accurate measurement for calculating author's citation index and the same we have observed in our experimental analysis, where we have seen substantial impact improvement while comparing actual h-index with
$\mathbf{h}_{c}$
-index for top 10 authors from Web of Universities
^1
1
https://www.webometrics.info/enlhlargerthan100 ranking.