{"title":"Box and Segment Intersection Graphs with Large Girth and Chromatic Number","authors":"James Davies","doi":"10.19086/aic.25431","DOIUrl":null,"url":null,"abstract":"We prove that there are intersection graphs of axis-aligned boxes in R3 and\nintersection graphs of straight lines in R3 that have arbitrarily large girth and chromatic\nnumber.","PeriodicalId":36338,"journal":{"name":"Advances in Combinatorics","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.19086/aic.25431","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: 4
Abstract
We prove that there are intersection graphs of axis-aligned boxes in R3 and
intersection graphs of straight lines in R3 that have arbitrarily large girth and chromatic
number.
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