{"title":"在多项式时间内识别圆图","authors":"Csaba P. Gabor, W. Hsu, K. Supowit","doi":"10.1145/65950.65951","DOIUrl":null,"url":null,"abstract":"Our main result is a polynomialtime algorithm for deciding whether a given graph is a circle graph, that is, the intersection graph of a set of chords on a circle. Our algorithm utilizes two new graph-theoretic results, regarding necessary induced subgraphs of graphs having neither articulation points nor similar pairs of vertices.","PeriodicalId":296739,"journal":{"name":"26th Annual Symposium on Foundations of Computer Science (sfcs 1985)","volume":"76 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1985-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"118","resultStr":"{\"title\":\"Recognizing circle graphs in polynomial time\",\"authors\":\"Csaba P. Gabor, W. Hsu, K. Supowit\",\"doi\":\"10.1145/65950.65951\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Our main result is a polynomialtime algorithm for deciding whether a given graph is a circle graph, that is, the intersection graph of a set of chords on a circle. Our algorithm utilizes two new graph-theoretic results, regarding necessary induced subgraphs of graphs having neither articulation points nor similar pairs of vertices.\",\"PeriodicalId\":296739,\"journal\":{\"name\":\"26th Annual Symposium on Foundations of Computer Science (sfcs 1985)\",\"volume\":\"76 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1985-10-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"118\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"26th Annual Symposium on Foundations of Computer Science (sfcs 1985)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/65950.65951\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"26th Annual Symposium on Foundations of Computer Science (sfcs 1985)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/65950.65951","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Our main result is a polynomialtime algorithm for deciding whether a given graph is a circle graph, that is, the intersection graph of a set of chords on a circle. Our algorithm utilizes two new graph-theoretic results, regarding necessary induced subgraphs of graphs having neither articulation points nor similar pairs of vertices.