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Plateaued functions on finite nonabelian groups 有限非贝尔群上的平稳函数
3区 数学
Journal of Algebraic Combinatorics Pub Date : 2023-09-22 DOI: 10.1007/s10801-023-01266-y
Bangteng Xu
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引用次数: 0
Saturating systems and the rank-metric covering radius 饱和系统和等级-度量覆盖半径
3区 数学
Journal of Algebraic Combinatorics Pub Date : 2023-09-22 DOI: 10.1007/s10801-023-01269-9
Matteo Bonini, Martino Borello, Eimear Byrne
{"title":"Saturating systems and the rank-metric covering radius","authors":"Matteo Bonini, Martino Borello, Eimear Byrne","doi":"10.1007/s10801-023-01269-9","DOIUrl":"https://doi.org/10.1007/s10801-023-01269-9","url":null,"abstract":"Abstract We introduce the concept of a rank-saturating system and outline its correspondence to a rank-metric code with a given covering radius. We consider the problem of finding the value of $$s_{q^m/q}(k,rho )$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:msub> <mml:mi>s</mml:mi> <mml:mrow> <mml:msup> <mml:mi>q</mml:mi> <mml:mi>m</mml:mi> </mml:msup> <mml:mo>/</mml:mo> <mml:mi>q</mml:mi> </mml:mrow> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>k</mml:mi> <mml:mo>,</mml:mo> <mml:mi>ρ</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> , which is the minimum $$mathbb {F}_q$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msub> <mml:mi>F</mml:mi> <mml:mi>q</mml:mi> </mml:msub> </mml:math> -dimension of a q -system in $$mathbb {F}_{q^m}^k$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msubsup> <mml:mi>F</mml:mi> <mml:mrow> <mml:msup> <mml:mi>q</mml:mi> <mml:mi>m</mml:mi> </mml:msup> </mml:mrow> <mml:mi>k</mml:mi> </mml:msubsup> </mml:math> that is rank- $$rho $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>ρ</mml:mi> </mml:math> -saturating. This is equivalent to the covering problem in the rank metric. We obtain upper and lower bounds on $$s_{q^m/q}(k,rho )$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:msub> <mml:mi>s</mml:mi> <mml:mrow> <mml:msup> <mml:mi>q</mml:mi> <mml:mi>m</mml:mi> </mml:msup> <mml:mo>/</mml:mo> <mml:mi>q</mml:mi> </mml:mrow> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>k</mml:mi> <mml:mo>,</mml:mo> <mml:mi>ρ</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> and evaluate it for certain values of k and $$rho $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>ρ</mml:mi> </mml:math> . We give constructions of rank- $$rho $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>ρ</mml:mi> </mml:math> -saturating systems suggested from geometry.","PeriodicalId":14926,"journal":{"name":"Journal of Algebraic Combinatorics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136061518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
The closeness eigenvalues of graphs 图的接近特征值
3区 数学
Journal of Algebraic Combinatorics Pub Date : 2023-09-22 DOI: 10.1007/s10801-023-01270-2
Lu Zheng, Bo Zhou
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引用次数: 1
Power graphs of all nilpotent groups 所有幂零群的幂图
3区 数学
Journal of Algebraic Combinatorics Pub Date : 2023-09-22 DOI: 10.1007/s10801-023-01267-x
Sayyed Heidar Jafari, Samir Zahirović
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引用次数: 0
Splitting fields of mixed Cayley graphs over abelian groups 阿贝尔群上混合Cayley图的分割域
3区 数学
Journal of Algebraic Combinatorics Pub Date : 2023-09-21 DOI: 10.1007/s10801-023-01260-4
Xueyi Huang, Lu Lu, Katja Mönius
{"title":"Splitting fields of mixed Cayley graphs over abelian groups","authors":"Xueyi Huang, Lu Lu, Katja Mönius","doi":"10.1007/s10801-023-01260-4","DOIUrl":"https://doi.org/10.1007/s10801-023-01260-4","url":null,"abstract":"","PeriodicalId":14926,"journal":{"name":"Journal of Algebraic Combinatorics","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136101792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Special Issue: CIMPA Floripa: from dynamics to algebra and representation theory and back 特刊:CIMPA Floripa:从动力学到代数和表征理论再回来
3区 数学
Journal of Algebraic Combinatorics Pub Date : 2023-08-14 DOI: 10.1007/s10801-023-01257-z
Daniel Gonçalves, Virgínia Silva Rodrigues, Yolanda Cabrera Casado
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引用次数: 0
The core of a complementary prism 互补棱镜的核心
IF 0.8 3区 数学
Journal of Algebraic Combinatorics Pub Date : 2023-06-15 DOI: 10.1007/s10801-023-01236-4
M. Orel
{"title":"The core of a complementary prism","authors":"M. Orel","doi":"10.1007/s10801-023-01236-4","DOIUrl":"https://doi.org/10.1007/s10801-023-01236-4","url":null,"abstract":"","PeriodicalId":14926,"journal":{"name":"Journal of Algebraic Combinatorics","volume":"58 1","pages":"589 - 609"},"PeriodicalIF":0.8,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43612480","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonvanishing Betti numbers of edge ideals of weakly chordal graphs 弱弦图边理想的非消失Betti数
IF 0.8 3区 数学
Journal of Algebraic Combinatorics Pub Date : 2023-06-13 DOI: 10.1007/s10801-023-01248-0
José Martínez-Bernal, Oscar A. Pizá-Morales, Miguel A. Valencia-Bucio
{"title":"Nonvanishing Betti numbers of edge ideals of weakly chordal graphs","authors":"José Martínez-Bernal, Oscar A. Pizá-Morales, Miguel A. Valencia-Bucio","doi":"10.1007/s10801-023-01248-0","DOIUrl":"https://doi.org/10.1007/s10801-023-01248-0","url":null,"abstract":"","PeriodicalId":14926,"journal":{"name":"Journal of Algebraic Combinatorics","volume":"58 1","pages":"279 - 290"},"PeriodicalIF":0.8,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45306922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Edge colourings and qualitative representations of chromatic algebras 色代数的边着色与定性表示
IF 0.8 3区 数学
Journal of Algebraic Combinatorics Pub Date : 2023-06-13 DOI: 10.1007/s10801-023-01251-5
Badriah Al-Juaid, M. Jackson, James Koussas, T. Kowalski
{"title":"Edge colourings and qualitative representations of chromatic algebras","authors":"Badriah Al-Juaid, M. Jackson, James Koussas, T. Kowalski","doi":"10.1007/s10801-023-01251-5","DOIUrl":"https://doi.org/10.1007/s10801-023-01251-5","url":null,"abstract":"","PeriodicalId":14926,"journal":{"name":"Journal of Algebraic Combinatorics","volume":"58 1","pages":"157 - 182"},"PeriodicalIF":0.8,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47914295","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Flag-transitive and point-imprimitive designs with wreath product 带环积的旗传递和点印记设计
IF 0.8 3区 数学
Journal of Algebraic Combinatorics Pub Date : 2023-06-12 DOI: 10.1007/s10801-023-01244-4
Chuyi Zhong, Shenglin Zhou
{"title":"Flag-transitive and point-imprimitive designs with wreath product","authors":"Chuyi Zhong, Shenglin Zhou","doi":"10.1007/s10801-023-01244-4","DOIUrl":"https://doi.org/10.1007/s10801-023-01244-4","url":null,"abstract":"","PeriodicalId":14926,"journal":{"name":"Journal of Algebraic Combinatorics","volume":"58 1","pages":"231 - 245"},"PeriodicalIF":0.8,"publicationDate":"2023-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46125031","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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