{"title":"关于多边形的最优等分(扩展抽象)","authors":"E. Koutsoupias, C. Papadimitriou, M. Sideri","doi":"10.1145/98524.98565","DOIUrl":null,"url":null,"abstract":"We give a polynomial approximation sceme for subdividing a simple polygon into approximately equal parts by curves of the smallest possible total length. For convex polygons we show that an exact fast algorithm is possible. Several generalizations are shown NP-complete.","PeriodicalId":113850,"journal":{"name":"SCG '90","volume":"142 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On the optimal bisection of a polygon (extended abstract)\",\"authors\":\"E. Koutsoupias, C. Papadimitriou, M. Sideri\",\"doi\":\"10.1145/98524.98565\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give a polynomial approximation sceme for subdividing a simple polygon into approximately equal parts by curves of the smallest possible total length. For convex polygons we show that an exact fast algorithm is possible. Several generalizations are shown NP-complete.\",\"PeriodicalId\":113850,\"journal\":{\"name\":\"SCG '90\",\"volume\":\"142 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SCG '90\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/98524.98565\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SCG '90","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/98524.98565","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the optimal bisection of a polygon (extended abstract)
We give a polynomial approximation sceme for subdividing a simple polygon into approximately equal parts by curves of the smallest possible total length. For convex polygons we show that an exact fast algorithm is possible. Several generalizations are shown NP-complete.