{"title":"Matrix analysis of oriented graphs with irreducible feedback loops","authors":"J. Percus","doi":"10.1109/TCT.1955.1085228","DOIUrl":null,"url":null,"abstract":"THE PROBLEM of determining the possible I closed circuits available in a situation in which n terminals are interconnected in some fashion by unilateral branches is one of considerable importance in a number of diverse fields. It may be regarded as that of a topological characterization of a linear network, with specific branch gains between terminals; in such a case, the system may be designated (see Fig. 1) by the branch gain or transmission factor matrix A = (aij), in terms of which the terminal inputs Ei and terminal “voltages” Vi are related by","PeriodicalId":232856,"journal":{"name":"IRE Transactions on Circuit Theory","volume":"36 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1955-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IRE Transactions on Circuit Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TCT.1955.1085228","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
THE PROBLEM of determining the possible I closed circuits available in a situation in which n terminals are interconnected in some fashion by unilateral branches is one of considerable importance in a number of diverse fields. It may be regarded as that of a topological characterization of a linear network, with specific branch gains between terminals; in such a case, the system may be designated (see Fig. 1) by the branch gain or transmission factor matrix A = (aij), in terms of which the terminal inputs Ei and terminal “voltages” Vi are related by
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