{"title":"Robustness of networks against viruses: the role of the spectral radius","authors":"A. Jamakovic, R. Kooij, P. Mieghem, E. V. Dam","doi":"10.1109/SCVT.2006.334367","DOIUrl":"https://doi.org/10.1109/SCVT.2006.334367","url":null,"abstract":"In this paper we study the spectral radius of a number of real-life networks. This study is motivated by the fact that the smaller the spectral radius, the higher the robustness of a network against the spread of viruses. First we study how well-known upper bounds for the spectral radius of graphs match to the spectral radii of the social network of the Dutch soccer team, the Dutch roadmap network, the network of the observable part of the Internet graph at the IP-level and the autonomous system level. Secondly, we compare the spectral radius for these real-life networks with those of commonly used complex network models","PeriodicalId":233922,"journal":{"name":"2006 Symposium on Communications and Vehicular Technology","volume":"86 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126275035","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Rounding in ϵ-approximation algorithms","authors":"F. Kuipers","doi":"10.1109/SCVT.2006.334379","DOIUrl":"https://doi.org/10.1109/SCVT.2006.334379","url":null,"abstract":"A common approach to deal with NP-hard problems is to deploy polynomial-time ϵ-approximation algorithms. These algorithms often resort to rounding and scaling to guarantee a solution that is within a factor (1 + isin) of the optimal solution. Usually, researchers either only round up or only down. In this paper we will evaluate the gain in accuracy when rounding up and down. The main application of this technique upon which we focus is quality of service routing, and specifically the restricted shortest path problem","PeriodicalId":233922,"journal":{"name":"2006 Symposium on Communications and Vehicular Technology","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124255766","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}