{"title":"Introduction to Tolerance Semigraph","authors":"Abdur Rohman, Surajit Kr. Nath","doi":"10.37394/23206.2023.22.96","DOIUrl":null,"url":null,"abstract":"Tolerance semigraph comes from intersection semigraph which varies with a tolerance value in such a way that it generalizes interval semigraph. In this paper, we introduced the concept of tolerance semigraphs. We also present some related definitions, examples, and results of tolerance semigraphs. We also described a real-life application of tolerance semigraph with a suitable example, which is related to the scheduling problem and Greedy Algorithm.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":"45 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"WSEAS Transactions on Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37394/23206.2023.22.96","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
Tolerance semigraph comes from intersection semigraph which varies with a tolerance value in such a way that it generalizes interval semigraph. In this paper, we introduced the concept of tolerance semigraphs. We also present some related definitions, examples, and results of tolerance semigraphs. We also described a real-life application of tolerance semigraph with a suitable example, which is related to the scheduling problem and Greedy Algorithm.
期刊介绍:
WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.