On the Weisfeiler–Leman Dimension of Permutation Graphs

IF 0.9 3区 数学 Q2 MATHEMATICS
Jin Guo, Alexander L. Gavrilyuk, Ilia Ponomarenko
{"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":"17 1","pages":""},"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}
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).
关于置换图的 Weisfeiler-Leman 维度
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。
求助全文
约1分钟内获得全文 求助全文
来源期刊
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.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信