{"title":"On the Weisfeiler–Leman Dimension of Permutation Graphs","authors":"Jin Guo, Alexander L. Gavrilyuk, Ilia Ponomarenko","doi":"10.1137/23m1575019","DOIUrl":null,"url":null,"abstract":"SIAM Journal on Discrete Mathematics, Volume 38, Issue 2, Page 1915-1929, June 2024. <br/> Abstract. It is proved that the Weisfeiler–Leman dimension of the class of permutation graphs is at most 18. Previously, it was only known that this dimension is finite (B. Grußien, Proceedings of the 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), 2017, pp. 1–12).","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1137/23m1575019","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
SIAM Journal on Discrete Mathematics, Volume 38, Issue 2, Page 1915-1929, June 2024. Abstract. It is proved that the Weisfeiler–Leman dimension of the class of permutation graphs is at most 18. Previously, it was only known that this dimension is finite (B. Grußien, Proceedings of the 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), 2017, pp. 1–12).
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