Fractal dimension analogous scale-invariant derivative of Hirsch’s index
Abstract We propose a scale-invariant derivative of the h-index as “h-dimension”, which is analogous to the fractal dimension of the h-index for institutional performance analysis. The design of h-dimension comes from the self-similar characteristics of the citation structure. We applied this h-dime...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-01-01
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| Series: | Applied Network Science |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s41109-021-00443-x |
| _version_ | 1828145282372599808 |
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| author | Yuji Fujita Noritaka Usami |
| author_facet | Yuji Fujita Noritaka Usami |
| author_sort | Yuji Fujita |
| collection | DOAJ |
| description | Abstract We propose a scale-invariant derivative of the h-index as “h-dimension”, which is analogous to the fractal dimension of the h-index for institutional performance analysis. The design of h-dimension comes from the self-similar characteristics of the citation structure. We applied this h-dimension to data of 134 Japanese national universities and research institutes, and found well-performing medium-sized research institutes, where we identified multiple organizations related to natural disasters. This result is reasonable considering that Japan is frequently hit by earthquakes, typhoons, volcanoes and other natural disasters. However, these characteristic institutes are screened by larger universities if we depend on the existing h-index. The scale-invariant property of the proposed method helps to understand the nature of academic activities, which must promote fair and objective evaluation of research activities to maximize intellectual, and eventually economic opportunity. |
| first_indexed | 2024-04-11T20:30:36Z |
| format | Article |
| id | doaj.art-bda340faa4d94ffc8a295e016d4f2eda |
| institution | Directory Open Access Journal |
| issn | 2364-8228 |
| language | English |
| last_indexed | 2024-04-11T20:30:36Z |
| publishDate | 2022-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Applied Network Science |
| spelling | doaj.art-bda340faa4d94ffc8a295e016d4f2eda2022-12-22T04:04:31ZengSpringerOpenApplied Network Science2364-82282022-01-017111910.1007/s41109-021-00443-xFractal dimension analogous scale-invariant derivative of Hirsch’s indexYuji Fujita0Noritaka Usami1Japan Cabinet OfficeJapan Cabinet OfficeAbstract We propose a scale-invariant derivative of the h-index as “h-dimension”, which is analogous to the fractal dimension of the h-index for institutional performance analysis. The design of h-dimension comes from the self-similar characteristics of the citation structure. We applied this h-dimension to data of 134 Japanese national universities and research institutes, and found well-performing medium-sized research institutes, where we identified multiple organizations related to natural disasters. This result is reasonable considering that Japan is frequently hit by earthquakes, typhoons, volcanoes and other natural disasters. However, these characteristic institutes are screened by larger universities if we depend on the existing h-index. The scale-invariant property of the proposed method helps to understand the nature of academic activities, which must promote fair and objective evaluation of research activities to maximize intellectual, and eventually economic opportunity.https://doi.org/10.1007/s41109-021-00443-xSelf-similarityComplex networkHirsch’s index |
| spellingShingle | Yuji Fujita Noritaka Usami Fractal dimension analogous scale-invariant derivative of Hirsch’s index Applied Network Science Self-similarity Complex network Hirsch’s index |
| title | Fractal dimension analogous scale-invariant derivative of Hirsch’s index |
| title_full | Fractal dimension analogous scale-invariant derivative of Hirsch’s index |
| title_fullStr | Fractal dimension analogous scale-invariant derivative of Hirsch’s index |
| title_full_unstemmed | Fractal dimension analogous scale-invariant derivative of Hirsch’s index |
| title_short | Fractal dimension analogous scale-invariant derivative of Hirsch’s index |
| title_sort | fractal dimension analogous scale invariant derivative of hirsch s index |
| topic | Self-similarity Complex network Hirsch’s index |
| url | https://doi.org/10.1007/s41109-021-00443-x |
| work_keys_str_mv | AT yujifujita fractaldimensionanalogousscaleinvariantderivativeofhirschsindex AT noritakausami fractaldimensionanalogousscaleinvariantderivativeofhirschsindex |