Hirsch has introduced the h-index to quantify an individual's scientific research output by the largest number h of a scientist's papers that received at least h citations. In order to take into account the highly skewed frequency distribution of citations, Egghe proposed the g-index as an improvement of the h-index. I have worked out 26 practical cases of physicists from the Institute of Physics at Chemnitz University of Technology and compare the h and g values. It is demonstrated that the g-index discriminates better between different citation patterns. This can also be achieved by evaluating Jin's A-index which reflects the average number of citations in the h-core and interpreting it in conjunction with the h-index. h and A can be combined into the R-index to measure the h-core's citation intensity. I have also determined the A and R values for the 26 data sets. For a better comparison, I utilize interpolated indices. The correlations between the various indices as well as with the total number of papers and the highest citation counts are discussed. The largest Pearson correlation coefficient is found between g and R. Although the correlation between g and h is relatively strong, the arrangement of the data set is significantly different, depending on whether they are put into order according to the values of either h or g.
A Case Study of the Modified Hirsch Index hm Accounting for Multiple Co-authors
J. E.赫希（2005年）引入了h指数，通过科学家论文的最大数量h来量化个人的科学研究成果，这些论文至少被引用了h次。这个所谓的赫希指数可以很容易地修改，以考虑到多个合著者，通过计算论文分数根据（倒数）的作者人数。我列举了26个物理学家的经验案例来说明这种修正的效果。虽然原始的和修改后的赫希指数之间的相关性是相对较强的，数据集的安排是显着不同的，这取决于它们是否被放入根据原始或修改后的指数的值的顺序。
随着绝大多数的科学论文现在可以在网上，本文介绍了网络是如何让物理学家和信息提供商更准确地衡量这些论文及其作者的影响。提供了引文分析的历史背景、影响因子、新的引文数据源（例如，Google Scholar、Scopus、NASA的Astrophysics Data System Abstract Service、MathSciNet、ScienceDirect、ScienceScholar、Scitation/SPIN和SPIRES-HEP），以及h-index、g-index和a-index。
We introduce a new centrality index for bipartite network of papers and authors that we call $K$-index. The $K$-index grows with the citation performance of the papers that cite a given researcher and can seen as a measure of scientific social recognition. Indeed, the $K$-index measures the number of hubs, defined in a self-consistent way in the bipartite network, that cites a given author. We show that the $K$-index can be computed by simple inspection of the Web of Science platform and presents several advantages over other centrality indexes, in particular Hirsch $h$-index. The $K$-index is…
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