{"title":"关于随机网络中H指数的注解","authors":"Y. Shang","doi":"10.1080/0022250X.2017.1403438","DOIUrl":null,"url":null,"abstract":"ABSTRACT The H index, also known as Hirsch index, quantifies and compares the citation impact of scientific researchers. In the general context of networks, we define a node as a leader if its H index is not less than the average of the H indices of its neighbors. We show that in a randomly connected network, the proportion of leaders is almost always close to a half.","PeriodicalId":50139,"journal":{"name":"Journal of Mathematical Sociology","volume":"42 1","pages":"77 - 82"},"PeriodicalIF":1.3000,"publicationDate":"2017-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/0022250X.2017.1403438","citationCount":"4","resultStr":"{\"title\":\"A note on the H index in random networks\",\"authors\":\"Y. Shang\",\"doi\":\"10.1080/0022250X.2017.1403438\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"ABSTRACT The H index, also known as Hirsch index, quantifies and compares the citation impact of scientific researchers. In the general context of networks, we define a node as a leader if its H index is not less than the average of the H indices of its neighbors. We show that in a randomly connected network, the proportion of leaders is almost always close to a half.\",\"PeriodicalId\":50139,\"journal\":{\"name\":\"Journal of Mathematical Sociology\",\"volume\":\"42 1\",\"pages\":\"77 - 82\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2017-11-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/0022250X.2017.1403438\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Sociology\",\"FirstCategoryId\":\"90\",\"ListUrlMain\":\"https://doi.org/10.1080/0022250X.2017.1403438\",\"RegionNum\":4,\"RegionCategory\":\"社会学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Sociology","FirstCategoryId":"90","ListUrlMain":"https://doi.org/10.1080/0022250X.2017.1403438","RegionNum":4,"RegionCategory":"社会学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
ABSTRACT The H index, also known as Hirsch index, quantifies and compares the citation impact of scientific researchers. In the general context of networks, we define a node as a leader if its H index is not less than the average of the H indices of its neighbors. We show that in a randomly connected network, the proportion of leaders is almost always close to a half.
期刊介绍：
The goal of the Journal of Mathematical Sociology is to publish models and mathematical techniques that would likely be useful to professional sociologists. The Journal also welcomes papers of mutual interest to social scientists and other social and behavioral scientists, as well as papers by non-social scientists that may encourage fruitful connections between sociology and other disciplines. Reviews of new or developing areas of mathematics and mathematical modeling that may have significant applications in sociology will also be considered.
The Journal of Mathematical Sociology is published in association with the International Network for Social Network Analysis, the Japanese Association for Mathematical Sociology, the Mathematical Sociology Section of the American Sociological Association, and the Methodology Section of the American Sociological Association.
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