Mehrdad Moharrami, V. Subramanian, M. Liu, R. Sundaresan
{"title":"Local Weak Convergence Based Analysis of a New Graph Model","authors":"Mehrdad Moharrami, V. Subramanian, M. Liu, R. Sundaresan","doi":"10.1109/ALLERTON.2018.8635966","DOIUrl":null,"url":null,"abstract":"Different random graph models have been proposed as an attempt to model individuals’ behavior. Each of these models proposes a unique way to construct a random graph that covers some properties of the real-world networks. In a recent work [4], the proposed model tries to capture the self-optimizing behavior of the individuals in which the links are made based on the cost/benefit of the connection. In this paper, we analyze the asymptotics of this graph model. We prove the model locally weakly converges [1] to a rooted tree associated with a branching process which we named Erlang Weighted Tree(EWT) and analyze the main properties of the EWT.","PeriodicalId":299280,"journal":{"name":"2018 56th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","volume":"42 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 56th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ALLERTON.2018.8635966","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Different random graph models have been proposed as an attempt to model individuals’ behavior. Each of these models proposes a unique way to construct a random graph that covers some properties of the real-world networks. In a recent work [4], the proposed model tries to capture the self-optimizing behavior of the individuals in which the links are made based on the cost/benefit of the connection. In this paper, we analyze the asymptotics of this graph model. We prove the model locally weakly converges [1] to a rooted tree associated with a branching process which we named Erlang Weighted Tree(EWT) and analyze the main properties of the EWT.