{"title":"A characterization for tropical polynomials being the minimum finishing time of project networks","authors":"Takaaki Ito","doi":"10.14492/hokmj/1537948829","DOIUrl":null,"url":null,"abstract":"A tropical polynomial is called R-polynomial if it can be realized as the minimum finishing time of a project network. R-polynomials satisfy the term extendability condition, and correspond to simple graphs. We give a characterization of R-polynomials in terms of simple graphs.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Hokkaido Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.14492/hokmj/1537948829","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
A tropical polynomial is called R-polynomial if it can be realized as the minimum finishing time of a project network. R-polynomials satisfy the term extendability condition, and correspond to simple graphs. We give a characterization of R-polynomials in terms of simple graphs.
期刊介绍：
The main purpose of Hokkaido Mathematical Journal is to promote research activities in pure and applied mathematics by publishing original research papers. Selection for publication is on the basis of reports from specialist referees commissioned by the editors.
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