{"title":"在某凸多面体的极值点上","authors":"M. Katz","doi":"10.1016/S0021-9800(70)80034-5","DOIUrl":null,"url":null,"abstract":"<div><p>The convex polytope of all stochastic and symmetric matrices is considered and its extreme points are determined. A method is given for counting these extreme points.</p></div>","PeriodicalId":100765,"journal":{"name":"Journal of Combinatorial Theory","volume":"8 4","pages":"Pages 417-423"},"PeriodicalIF":0.0000,"publicationDate":"1970-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0021-9800(70)80034-5","citationCount":"39","resultStr":"{\"title\":\"On the extreme points of a certain convex polytope\",\"authors\":\"M. Katz\",\"doi\":\"10.1016/S0021-9800(70)80034-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The convex polytope of all stochastic and symmetric matrices is considered and its extreme points are determined. A method is given for counting these extreme points.</p></div>\",\"PeriodicalId\":100765,\"journal\":{\"name\":\"Journal of Combinatorial Theory\",\"volume\":\"8 4\",\"pages\":\"Pages 417-423\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1970-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0021-9800(70)80034-5\",\"citationCount\":\"39\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Combinatorial Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0021980070800345\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Combinatorial Theory","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021980070800345","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the extreme points of a certain convex polytope
The convex polytope of all stochastic and symmetric matrices is considered and its extreme points are determined. A method is given for counting these extreme points.
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