{"title":"An invariant of virtual trivalent spatial graphs","authors":"Evan Carr, Nancy Scherich, Sherilyn Tamagawa","doi":"10.1142/s0218216523500876","DOIUrl":null,"url":null,"abstract":"<p>We create an invariant of virtual <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mi>Y</mi></math></span><span></span>-oriented trivalent spatial graphs using colorings by <i>virtual Niebrzydowski algebras</i>. This paper generalizes the color invariants using <i>virtual tribrackets</i> and <i>Niebrzydowski algebras</i> by Nelson–Pico, and Graves-Nelson-T. We computed all tribrackets, Niebrzydowski algebras and virtual Niebrzydowski algebras of orders 3 and 4, and provide generative code for all data sets.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1142/s0218216523500876","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We create an invariant of virtual -oriented trivalent spatial graphs using colorings by virtual Niebrzydowski algebras. This paper generalizes the color invariants using virtual tribrackets and Niebrzydowski algebras by Nelson–Pico, and Graves-Nelson-T. We computed all tribrackets, Niebrzydowski algebras and virtual Niebrzydowski algebras of orders 3 and 4, and provide generative code for all data sets.
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