{"title":"顶点切割界及其应用","authors":"N. Kashyap","doi":"10.1109/ISITA.2008.4895506","DOIUrl":null,"url":null,"abstract":"We introduce the vertex-cut bound as a tool for analyzing the constraint complexity of realizations of a given code on an arbitrary graph. We then use this bound to obtain non-trivial lower bounds on the constraint complexity of such realizations. Our bounds enable us to show, for example, that codes that are good from an error-correcting standpoint cannot have cycle-free realizations with low constraint complexity.","PeriodicalId":338675,"journal":{"name":"2008 International Symposium on Information Theory and Its Applications","volume":"39 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Vertex-Cut Bound and its applications\",\"authors\":\"N. Kashyap\",\"doi\":\"10.1109/ISITA.2008.4895506\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduce the vertex-cut bound as a tool for analyzing the constraint complexity of realizations of a given code on an arbitrary graph. We then use this bound to obtain non-trivial lower bounds on the constraint complexity of such realizations. Our bounds enable us to show, for example, that codes that are good from an error-correcting standpoint cannot have cycle-free realizations with low constraint complexity.\",\"PeriodicalId\":338675,\"journal\":{\"name\":\"2008 International Symposium on Information Theory and Its Applications\",\"volume\":\"39 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 International Symposium on Information Theory and Its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISITA.2008.4895506\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 International Symposium on Information Theory and Its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISITA.2008.4895506","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We introduce the vertex-cut bound as a tool for analyzing the constraint complexity of realizations of a given code on an arbitrary graph. We then use this bound to obtain non-trivial lower bounds on the constraint complexity of such realizations. Our bounds enable us to show, for example, that codes that are good from an error-correcting standpoint cannot have cycle-free realizations with low constraint complexity.
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