{"title":"射影平面PG(2,5)中的最大值(k, n)-弧","authors":"Najim Ismaeel","doi":"10.24271/GARMIAN.129","DOIUrl":null,"url":null,"abstract":"In this paper we recognize maximal (k, n)-arcs in the projective plane PG (2,5), n = 2, 3, ...,5, where a (k, n)-arc K in a projective plane is a set of K pointssuch that no n + 1 of which are collinear. A (k, n) – arc is a maximal if and only ifevery line in the projective plane PG (2, P) is a O-secant, or n-secant, whichrepresented as ( k, 2 )-arc and (k, 6)-arc. A (k, n)-arc is complete if it is notcontained in a (k + 1, n) – arc.","PeriodicalId":12283,"journal":{"name":"Evaluation Study of Three Diagnostic Methods for Helicobacter pylori Infection","volume":"9 1","pages":"113-121"},"PeriodicalIF":0.0000,"publicationDate":"2017-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Maximal (k, n)-arc in Projective Plane PG(2, 5)\",\"authors\":\"Najim Ismaeel\",\"doi\":\"10.24271/GARMIAN.129\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we recognize maximal (k, n)-arcs in the projective plane PG (2,5), n = 2, 3, ...,5, where a (k, n)-arc K in a projective plane is a set of K pointssuch that no n + 1 of which are collinear. A (k, n) – arc is a maximal if and only ifevery line in the projective plane PG (2, P) is a O-secant, or n-secant, whichrepresented as ( k, 2 )-arc and (k, 6)-arc. A (k, n)-arc is complete if it is notcontained in a (k + 1, n) – arc.\",\"PeriodicalId\":12283,\"journal\":{\"name\":\"Evaluation Study of Three Diagnostic Methods for Helicobacter pylori Infection\",\"volume\":\"9 1\",\"pages\":\"113-121\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Evaluation Study of Three Diagnostic Methods for Helicobacter pylori Infection\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24271/GARMIAN.129\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Evaluation Study of Three Diagnostic Methods for Helicobacter pylori Infection","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24271/GARMIAN.129","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper we recognize maximal (k, n)-arcs in the projective plane PG (2,5), n = 2, 3, ...,5, where a (k, n)-arc K in a projective plane is a set of K pointssuch that no n + 1 of which are collinear. A (k, n) – arc is a maximal if and only ifevery line in the projective plane PG (2, P) is a O-secant, or n-secant, whichrepresented as ( k, 2 )-arc and (k, 6)-arc. A (k, n)-arc is complete if it is notcontained in a (k + 1, n) – arc.