{"title":"A linear algebra approach to some problems of graph theory","authors":"Elizaveta A. Kalinina, Gennady M. Khitrov","doi":"10.1109/csitechnol.2017.8312127","DOIUrl":null,"url":null,"abstract":"In this paper, we consider some known problems of graph theory from the linear algebra point of view. Studying features of vector spaces over characteristic-two finite field allows us to reprove the theorem on graph circuits and cut-sets and develop a new algorithm to recognize a line graph and construct its original graph.","PeriodicalId":332371,"journal":{"name":"2017 Computer Science and Information Technologies (CSIT)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2017-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 Computer Science and Information Technologies (CSIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/csitechnol.2017.8312127","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper, we consider some known problems of graph theory from the linear algebra point of view. Studying features of vector spaces over characteristic-two finite field allows us to reprove the theorem on graph circuits and cut-sets and develop a new algorithm to recognize a line graph and construct its original graph.