{"title":"Wigner-noise on random matrices with remarkable linear structure (applicable to cellular networks)","authors":"M. Bolla","doi":"10.1109/ITI.2004.241605","DOIUrl":null,"url":null,"abstract":"Spectra and representations of some special weighted graphs are investigated with weight matrices consisting of homogeneous blocks. It is proved that a random perturbation of the weight matrix with a \"Wigner-noise\" not have an effect on the order of the protruding eigenvalues and the representatives of the vertices unveil the underlying block-structure. Such random graphs adequately describe some biological and communication networks, the vertices of which belong either to loosely connected strata or to clusters with homogeneous edge-densities between any two of them","PeriodicalId":320305,"journal":{"name":"26th International Conference on Information Technology Interfaces, 2004.","volume":"20 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"26th International Conference on Information Technology Interfaces, 2004.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITI.2004.241605","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
Spectra and representations of some special weighted graphs are investigated with weight matrices consisting of homogeneous blocks. It is proved that a random perturbation of the weight matrix with a "Wigner-noise" not have an effect on the order of the protruding eigenvalues and the representatives of the vertices unveil the underlying block-structure. Such random graphs adequately describe some biological and communication networks, the vertices of which belong either to loosely connected strata or to clusters with homogeneous edge-densities between any two of them
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