Liangxun Shuo, Yiying Chen, Zexin Zhang, Wenbin Li
{"title":"基于网络熵的小世界网络演化分析","authors":"Liangxun Shuo, Yiying Chen, Zexin Zhang, Wenbin Li","doi":"10.1016/j.aasri.2013.10.089","DOIUrl":null,"url":null,"abstract":"<div><p>In modeling algorithms of Scale-free or Small-World network, the modification for nodes denotes the metabolism of the system components, and the change for edges represents the metabolism of the system structure. Due the modifications of nodes and edges, network structure as well as the network's entropy is changed. Therefore, the entropy of the network is used to depict the metabolic processes of the system in this paper Based on the network entropy, the WS model is analyzed. The conclusions are that firstly the change of network entropy of WS network is U-shaped. Secondly, under the same conditions, the value of p affects the rate of decrease and increase in the entropy's graphic. And, K decides the timing of change from drop to rising.</p></div>","PeriodicalId":100008,"journal":{"name":"AASRI Procedia","volume":"5 ","pages":"Pages 274-280"},"PeriodicalIF":0.0000,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.aasri.2013.10.089","citationCount":"2","resultStr":"{\"title\":\"The Analysis for Small-World Network's Evolution based on Network Entropy\",\"authors\":\"Liangxun Shuo, Yiying Chen, Zexin Zhang, Wenbin Li\",\"doi\":\"10.1016/j.aasri.2013.10.089\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In modeling algorithms of Scale-free or Small-World network, the modification for nodes denotes the metabolism of the system components, and the change for edges represents the metabolism of the system structure. Due the modifications of nodes and edges, network structure as well as the network's entropy is changed. Therefore, the entropy of the network is used to depict the metabolic processes of the system in this paper Based on the network entropy, the WS model is analyzed. The conclusions are that firstly the change of network entropy of WS network is U-shaped. Secondly, under the same conditions, the value of p affects the rate of decrease and increase in the entropy's graphic. And, K decides the timing of change from drop to rising.</p></div>\",\"PeriodicalId\":100008,\"journal\":{\"name\":\"AASRI Procedia\",\"volume\":\"5 \",\"pages\":\"Pages 274-280\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.aasri.2013.10.089\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"AASRI Procedia\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2212671613000905\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"AASRI Procedia","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2212671613000905","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Analysis for Small-World Network's Evolution based on Network Entropy
In modeling algorithms of Scale-free or Small-World network, the modification for nodes denotes the metabolism of the system components, and the change for edges represents the metabolism of the system structure. Due the modifications of nodes and edges, network structure as well as the network's entropy is changed. Therefore, the entropy of the network is used to depict the metabolic processes of the system in this paper Based on the network entropy, the WS model is analyzed. The conclusions are that firstly the change of network entropy of WS network is U-shaped. Secondly, under the same conditions, the value of p affects the rate of decrease and increase in the entropy's graphic. And, K decides the timing of change from drop to rising.