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New normal forms for degree-3 polynomials and rational functions 三次多项式和有理函数的新范式
Involve Pub Date : 2023-10-31 DOI: 10.2140/involve.2023.16.605
Heidi Benham, Alexander Galarraga, Benjamin Hutz, Joey Lupo, Wayne Peng, Adam Towsley
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引用次数: 0
Number of triangulations of a Möbius strip Möbius条的三角剖分数
Involve Pub Date : 2023-10-31 DOI: 10.2140/involve.2023.16.547
Bazier-Matte Véronique, Huang Ruiyan, Luo Hanyi
{"title":"Number of triangulations of a Möbius strip","authors":"Bazier-Matte Véronique, Huang Ruiyan, Luo Hanyi","doi":"10.2140/involve.2023.16.547","DOIUrl":"https://doi.org/10.2140/involve.2023.16.547","url":null,"abstract":"Consider a M\"obius strip with $n$ chosen points on its edge. A triangulation is a maximal collection of arcs among these points and cuts the strip into triangles. In this paper, we proved the number of all triangulations that one can obtain from a M\"obius strip with $n$ chosen points on its edge is given by $4^{n-1}+binom{2n-2}{n-1}$, then we made the connection with the number of clusters in the quasi-cluster algebra arising from the M\"obius strip.","PeriodicalId":36396,"journal":{"name":"Involve","volume":"16 9","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135765829","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Failed power domination in grids, cylinders, and tori 在网格，圆柱体和环面中无法控制能量
Involve Pub Date : 2023-10-31 DOI: 10.2140/involve.2023.16.705
Isabel T. Byrne, Gretchen L. Matthews, Nikita M. Patel, Anuradha G. Trivedi, Margaret A. Winslow
{"title":"Failed power domination in grids, cylinders, and tori","authors":"Isabel T. Byrne, Gretchen L. Matthews, Nikita M. Patel, Anuradha G. Trivedi, Margaret A. Winslow","doi":"10.2140/involve.2023.16.705","DOIUrl":"https://doi.org/10.2140/involve.2023.16.705","url":null,"abstract":"","PeriodicalId":36396,"journal":{"name":"Involve","volume":"3 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135975827","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Specht modules for partitions (k,3,3) have no one-dimensional summand 分区(k,3,3)的Specht模块没有一维求和
Involve Pub Date : 2023-10-31 DOI: 10.2140/involve.2023.16.659
Craig J. Dodge, Elijah Van Vlack
{"title":"Specht modules for partitions (k,3,3) have no one-dimensional summand","authors":"Craig J. Dodge, Elijah Van Vlack","doi":"10.2140/involve.2023.16.659","DOIUrl":"https://doi.org/10.2140/involve.2023.16.659","url":null,"abstract":"","PeriodicalId":36396,"journal":{"name":"Involve","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135975982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on positive bilinear maps 关于双线性正映射的注解
Involve Pub Date : 2023-10-31 DOI: 10.2140/involve.2023.16.579
Aaron C. H. Davey, Cristian Ivanescu, Adi Tcaciuc
{"title":"A note on positive bilinear maps","authors":"Aaron C. H. Davey, Cristian Ivanescu, Adi Tcaciuc","doi":"10.2140/involve.2023.16.579","DOIUrl":"https://doi.org/10.2140/involve.2023.16.579","url":null,"abstract":"","PeriodicalId":36396,"journal":{"name":"Involve","volume":"511 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135975822","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Colourability of graphs representing the Lucas series modulo t 表示Lucas级数模t的图的可着色性
Involve Pub Date : 2023-10-31 DOI: 10.2140/involve.2023.16.719
James Preen, Claire McGillivray
{"title":"Colourability of graphs representing the Lucas series modulo t","authors":"James Preen, Claire McGillivray","doi":"10.2140/involve.2023.16.719","DOIUrl":"https://doi.org/10.2140/involve.2023.16.719","url":null,"abstract":"","PeriodicalId":36396,"journal":{"name":"Involve","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135975824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Klein bottles in lens spaces 克莱因瓶在镜头空间
Involve Pub Date : 2023-10-31 DOI: 10.2140/involve.2023.16.621
Hansjörg Geiges, Norman Thies
{"title":"Klein bottles in lens spaces","authors":"Hansjörg Geiges, Norman Thies","doi":"10.2140/involve.2023.16.621","DOIUrl":"https://doi.org/10.2140/involve.2023.16.621","url":null,"abstract":"","PeriodicalId":36396,"journal":{"name":"Involve","volume":"73 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135975825","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Finite time blowup for the nonlinear Schrödinger equation with a delta potential 具有delta势的非线性Schrödinger方程的有限时间爆破
Involve Pub Date : 2023-10-31 DOI: 10.2140/involve.2023.16.591
Brandon Hauser, John Holmes, Eoghan O’Keefe, Sarah Raynor, Chuanyang Yu
{"title":"Finite time blowup for the nonlinear Schrödinger equation with a delta potential","authors":"Brandon Hauser, John Holmes, Eoghan O’Keefe, Sarah Raynor, Chuanyang Yu","doi":"10.2140/involve.2023.16.591","DOIUrl":"https://doi.org/10.2140/involve.2023.16.591","url":null,"abstract":"","PeriodicalId":36396,"journal":{"name":"Involve","volume":"1 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135975838","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On fan-saturated graphs 在风扇饱和图上
Involve Pub Date : 2023-10-31 DOI: 10.2140/involve.2023.16.637
Jessica Fuller, Ronald J. Gould
{"title":"On fan-saturated graphs","authors":"Jessica Fuller, Ronald J. Gould","doi":"10.2140/involve.2023.16.637","DOIUrl":"https://doi.org/10.2140/involve.2023.16.637","url":null,"abstract":"Given a graph H, we say that a graph G is H-saturated if it does not contain H as a subgraph, but the addition of any edge e 6∈ E(G) results in at least one copy of H as a subgraph. Let Ft be the graph consisting of t edge-disjoint triangles that intersect at a single vertex v. We investigate the set of all m such that there exists an n vertex, m edge Ft-saturated graph, for t ≥ 2. This set is called the saturation spectrum of Ft.","PeriodicalId":36396,"journal":{"name":"Involve","volume":"187 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135975979","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Representations of integers by powers of two primes 用两个素数的幂表示整数
Involve Pub Date : 2023-10-31 DOI: 10.2140/involve.2023.16.563
Mckenzie West, Natalie Wijesinghe
{"title":"Representations of integers by powers of two primes","authors":"Mckenzie West, Natalie Wijesinghe","doi":"10.2140/involve.2023.16.563","DOIUrl":"https://doi.org/10.2140/involve.2023.16.563","url":null,"abstract":"","PeriodicalId":36396,"journal":{"name":"Involve","volume":"512 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135975818","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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