{"title":"Correction","authors":"B. Cornwell, Jake Burchard","doi":"10.1080/0022250X.2021.1917928","DOIUrl":null,"url":null,"abstract":"Theorem 3.1 and Corollary 3.1.1 in the article are false. While Theorem 3.1 correctly states that κ N ð Þ � k, the reverse inequality is not necessarily true (a family of counterexamples can be produced to show this). It should be noted that these statements, while false, are nevertheless tangential to the main emphasis of the paper, which is that cohesion in two-mode networks should be studied without one-mode projections, and that this can be done using both what we call “two-sided” and “onesided” approaches. We have replaced Theorem 3.1 and Corollary 3.1.1 with the following new, correct theorems and accompanying text.","PeriodicalId":50139,"journal":{"name":"Journal of Mathematical Sociology","volume":"45 1","pages":"192 - 193"},"PeriodicalIF":1.3000,"publicationDate":"2021-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/0022250X.2021.1917928","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Sociology","FirstCategoryId":"90","ListUrlMain":"https://doi.org/10.1080/0022250X.2021.1917928","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}
引用次数: 0
Abstract
Theorem 3.1 and Corollary 3.1.1 in the article are false. While Theorem 3.1 correctly states that κ N ð Þ � k, the reverse inequality is not necessarily true (a family of counterexamples can be produced to show this). It should be noted that these statements, while false, are nevertheless tangential to the main emphasis of the paper, which is that cohesion in two-mode networks should be studied without one-mode projections, and that this can be done using both what we call “two-sided” and “onesided” approaches. We have replaced Theorem 3.1 and Corollary 3.1.1 with the following new, correct theorems and accompanying text.
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.