# Citation indices and dimensional homogeneity

**Authors:** Gangan Prathap  
**arXiv:** [1701.00612](https://arxiv.org/abs/1701.00612)  
**Date:** 2017-01-03  
**Summary page:** https://www.summarizepaper.com/en/paper/1701.00612v1/

## Key points

- Importance of dimensional analysis and homogeneity in bibliometric studies
- Dimensions of h-type indices typically represented as [P]
- Introduction of Euclidean index with dimensions of [P3/2]
- Emphasis on considering dimensional analysis and homogeneity when evaluating citation indices
- Value of understanding dimensions associated with different types of indices
- Contribution of the paper to advancing knowledge in bibliometrics through systematic approach and empirical illustration

## Summary

In the paper "Citation indices and dimensional homogeneity" by Gangan Prathap, the importance of dimensional analysis and homogeneity in bibliometric studies is highlighted. This systematic examination reveals that most h-type indices in bibliometrics have dimensions represented as [P], where [P] signifies the basic unit of publication or paper. The newly introduced Euclidean index, based on the Euclidean length of the citation vector, has dimensions of [P3/2]. An empirical example further illustrates these concepts. The research emphasizes considering dimensional analysis and homogeneity when evaluating citation indices in bibliometrics, shedding light on a commonly overlooked aspect. By delving into the dimensions associated with different types of indices, this study offers valuable insights for researchers and practitioners to better understand and interpret bibliometric data. Overall, "Citation indices and dimensional homogeneity" contributes to advancing knowledge in bibliometrics by addressing a crucial but often neglected aspect in previous studies. Through its systematic approach and empirical illustration, this paper provides a comprehensive overview of how dimensional analysis can enhance our understanding of citation metrics, ultimately contributing to more accurate and meaningful assessments in academic research evaluation.