关于置换图的 Weisfeiler-Leman 维度

IF 0.9 3区数学 Q2 MATHEMATICS

SIAM Journal on Discrete Mathematics Pub Date : 2024-06-21 DOI:10.1137/23m1575019

Jin Guo, Alexander L. Gavrilyuk, Ilia Ponomarenko

{"title":"关于置换图的 Weisfeiler-Leman 维度","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":49530,"journal":{"name":"SIAM Journal on Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":49530,\"journal\":{\"name\":\"SIAM Journal on Discrete Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-06-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SIAM Journal on Discrete Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1137/23m1575019\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SIAM Journal on Discrete Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1137/23m1575019","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

SIAM 离散数学杂志》，第 38 卷，第 2 期，第 1915-1929 页，2024 年 6 月。摘要。证明了置换图类的 Weisfeiler-Leman 维度最多为 18。在此之前，人们只知道这个维度是有限的（B. Grußien, Proceedings of the 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), 2017, pp.）

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On the Weisfeiler–Leman Dimension of Permutation Graphs

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).

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

SIAM Journal on Discrete Mathematics 数学-应用数学

CiteScore

1.90

自引率

0.00%

发文量

124

审稿时长

4-8 weeks

期刊介绍： SIAM Journal on Discrete Mathematics (SIDMA) publishes research papers of exceptional quality in pure and applied discrete mathematics, broadly interpreted. The journal''s focus is primarily theoretical rather than empirical, but the editors welcome papers that evolve from or have potential application to real-world problems. Submissions must be clearly written and make a significant contribution. Topics include but are not limited to: properties of and extremal problems for discrete structures combinatorial optimization, including approximation algorithms algebraic and enumerative combinatorics coding and information theory additive, analytic combinatorics and number theory combinatorial matrix theory and spectral graph theory design and analysis of algorithms for discrete structures discrete problems in computational complexity discrete and computational geometry discrete methods in computational biology, and bioinformatics probabilistic methods and randomized algorithms.