{"title":"随机步行者轨迹形成的网络中相邻顶点间相关性的解释","authors":"N. Ikeda","doi":"10.1063/1.2897891","DOIUrl":null,"url":null,"abstract":"We investigated certain kinds of vertex correlation in networks formed by traces of random walkers. In this paper, the sign of correlation between degree and local clustering on adjacent vertices is interpreted based on the capacity for new creation of links for highly connected vertices. These interpretations are consistent with numerical simulation of network evolution. Other types of correlation can be related with each other. It is interesting that the local rules of network evolution determined by the movement of random walkers naturally provide large clustering coefficients and various finite vertex correlations.","PeriodicalId":46935,"journal":{"name":"Complex Systems","volume":"982 1","pages":"740-743"},"PeriodicalIF":0.5000,"publicationDate":"2008-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1063/1.2897891","citationCount":"0","resultStr":"{\"title\":\"Explanation of Correlation between Adjacent Vertices in Network Formed by Traces of Random Walkers\",\"authors\":\"N. Ikeda\",\"doi\":\"10.1063/1.2897891\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigated certain kinds of vertex correlation in networks formed by traces of random walkers. In this paper, the sign of correlation between degree and local clustering on adjacent vertices is interpreted based on the capacity for new creation of links for highly connected vertices. These interpretations are consistent with numerical simulation of network evolution. Other types of correlation can be related with each other. It is interesting that the local rules of network evolution determined by the movement of random walkers naturally provide large clustering coefficients and various finite vertex correlations.\",\"PeriodicalId\":46935,\"journal\":{\"name\":\"Complex Systems\",\"volume\":\"982 1\",\"pages\":\"740-743\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2008-02-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1063/1.2897891\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Complex Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1063/1.2897891\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/1.2897891","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
Explanation of Correlation between Adjacent Vertices in Network Formed by Traces of Random Walkers
We investigated certain kinds of vertex correlation in networks formed by traces of random walkers. In this paper, the sign of correlation between degree and local clustering on adjacent vertices is interpreted based on the capacity for new creation of links for highly connected vertices. These interpretations are consistent with numerical simulation of network evolution. Other types of correlation can be related with each other. It is interesting that the local rules of network evolution determined by the movement of random walkers naturally provide large clustering coefficients and various finite vertex correlations.
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