{"title":"具有大周长和色数的箱形和线段相交图","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":"{\"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}","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}
Box and Segment Intersection Graphs with Large Girth and Chromatic Number
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.