{"title":"On quadrilaterals in the suborbital graphs of the normalizer","authors":"Serkan Kader, B. Ö. Güler, E. Akşit","doi":"10.22108/TOC.2020.120019.1685","DOIUrl":null,"url":null,"abstract":"n this paper, we investigate suborbital graphs formed by $Nbig(Gamma_0(N)big)$-invariant equivalence relation induced on $hat{mathbb{Q}}$. Conditions for being an edge are obtained as a main tool, then necessary and sufficient conditions for the suborbital graphs to contain a circuit are investigated.","PeriodicalId":43837,"journal":{"name":"Transactions on Combinatorics","volume":"9 1","pages":"147-159"},"PeriodicalIF":0.6000,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions on Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22108/TOC.2020.120019.1685","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
n this paper, we investigate suborbital graphs formed by $Nbig(Gamma_0(N)big)$-invariant equivalence relation induced on $hat{mathbb{Q}}$. Conditions for being an edge are obtained as a main tool, then necessary and sufficient conditions for the suborbital graphs to contain a circuit are investigated.