{"title":"On graphs with the same restricted U-polynomial and the U-polynomial for rooted graphs","authors":"José Aliste-Prieto , José Zamora , Anna de Mier","doi":"10.1016/j.endm.2018.06.032","DOIUrl":null,"url":null,"abstract":"<div><p>In this abstract, we construct explicitly, for every <em>k</em>, pairs of non-isomorphic trees with the same restricted <em>U</em>-polynomial; by this we mean that the polynomials agree on terms with degree at most <em>k</em>. The construction is done purely in algebraic terms, after introducing and studying a generalization of the <em>U</em>-polynomial to rooted graphs.</p></div>","PeriodicalId":35408,"journal":{"name":"Electronic Notes in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.endm.2018.06.032","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Notes in Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1571065318301239","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 1
Abstract
In this abstract, we construct explicitly, for every k, pairs of non-isomorphic trees with the same restricted U-polynomial; by this we mean that the polynomials agree on terms with degree at most k. The construction is done purely in algebraic terms, after introducing and studying a generalization of the U-polynomial to rooted graphs.
期刊介绍:
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