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Journal of applied and computational topology最新文献

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On the hardness of finding normal surfaces 关于寻找法向表面的硬度
Journal of applied and computational topology Pub Date : 2019-12-19 DOI: 10.1007/s41468-021-00076-0
Benjamin A. Burton, Alexander He
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引用次数: 0
The Rado simplicial complex 拉多简单复合体
Journal of applied and computational topology Pub Date : 2019-12-05 DOI: 10.1007/s41468-021-00069-z
M. Farber, Lewis Mead, Lewin Strauss
{"title":"The Rado simplicial complex","authors":"M. Farber, Lewis Mead, Lewin Strauss","doi":"10.1007/s41468-021-00069-z","DOIUrl":"https://doi.org/10.1007/s41468-021-00069-z","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-021-00069-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47478105","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: 7
Digital fundamental groups and edge groups of clique complexes 集团复合体的数字基群和边群
Journal of applied and computational topology Pub Date : 2019-10-17 DOI: 10.1007/s41468-022-00095-5
G. Lupton, N. Scoville
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引用次数: 5
Spaces of directed paths on pre-cubical sets II 前立方集上有向路径的空间Ⅱ
Journal of applied and computational topology Pub Date : 2019-08-30 DOI: 10.1007/s41468-019-00040-z
Krzysztof Ziemiański
{"title":"Spaces of directed paths on pre-cubical sets II","authors":"Krzysztof Ziemiański","doi":"10.1007/s41468-019-00040-z","DOIUrl":"https://doi.org/10.1007/s41468-019-00040-z","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-019-00040-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42632343","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: 14
Configuration spaces of disks in an infinite strip 配置无限条带中的磁盘空间
Journal of applied and computational topology Pub Date : 2019-08-12 DOI: 10.1007/s41468-021-00070-6
H. Alpert, Matthew Kahle, R. Macpherson
{"title":"Configuration spaces of disks in an infinite strip","authors":"H. Alpert, Matthew Kahle, R. Macpherson","doi":"10.1007/s41468-021-00070-6","DOIUrl":"https://doi.org/10.1007/s41468-021-00070-6","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-021-00070-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53194217","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: 9
On the topology of complexes of injective words 关于内射词复数的拓扑
Journal of applied and computational topology Pub Date : 2019-08-09 DOI: 10.1007/s41468-019-00039-6
W. Chachólski, R. Levi, R. Meshulam
{"title":"On the topology of complexes of injective words","authors":"W. Chachólski, R. Levi, R. Meshulam","doi":"10.1007/s41468-019-00039-6","DOIUrl":"https://doi.org/10.1007/s41468-019-00039-6","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-019-00039-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42407909","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: 3
Ripser: efficient computation of Vietoris–Rips persistence barcodes Ripser: Vietoris-Rips持久性条码的高效计算
Journal of applied and computational topology Pub Date : 2019-08-07 DOI: 10.1007/s41468-021-00071-5
Ulrich Bauer
{"title":"Ripser: efficient computation of Vietoris–Rips persistence barcodes","authors":"Ulrich Bauer","doi":"10.1007/s41468-021-00071-5","DOIUrl":"https://doi.org/10.1007/s41468-021-00071-5","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-021-00071-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48169470","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: 246
A fundamental group for digital images 数字图像的基本组
Journal of applied and computational topology Pub Date : 2019-06-14 DOI: 10.1007/s41468-021-00067-1
G. Lupton, J. Oprea, N. Scoville
{"title":"A fundamental group for digital images","authors":"G. Lupton, J. Oprea, N. Scoville","doi":"10.1007/s41468-021-00067-1","DOIUrl":"https://doi.org/10.1007/s41468-021-00067-1","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-021-00067-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41606414","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: 14
A comparison framework for interleaved persistence modules. 交错持久化模块的比较框架。
Journal of applied and computational topology Pub Date : 2019-06-01 Epub Date: 2019-05-16 DOI: 10.1007/s41468-019-00026-x
Shaun Harker, Miroslav Kramár, Rachel Levanger, Konstantin Mischaikow
{"title":"A comparison framework for interleaved persistence modules.","authors":"Shaun Harker,&nbsp;Miroslav Kramár,&nbsp;Rachel Levanger,&nbsp;Konstantin Mischaikow","doi":"10.1007/s41468-019-00026-x","DOIUrl":"https://doi.org/10.1007/s41468-019-00026-x","url":null,"abstract":"<p><p>We present a generalization of the induced matching theorem of as reported by Bauer and Lesnick (in: Proceedings of the thirtieth annual symposium computational geometry 2014) and use it to prove a generalization of the algebraic stability theorem for <math><mi>ℝ</mi></math> -indexed pointwise finite-dimensional persistence modules. Via numerous examples, we show how the generalized algebraic stability theorem enables the computation of rigorous error bounds in the space of persistence diagrams that go beyond the typical formulation in terms of bottleneck (or log bottleneck) distance.</p>","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-019-00026-x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"37687528","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 13
The reach, metric distortion, geodesic convexity and the variation of tangent spaces 切空间的可达性、度量失真、测地凸性和变分
Journal of applied and computational topology Pub Date : 2019-06-01 DOI: 10.1007/s41468-019-00029-8
J. Boissonnat, A. Lieutier, M. Wintraecken
{"title":"The reach, metric distortion, geodesic convexity and the variation of tangent spaces","authors":"J. Boissonnat, A. Lieutier, M. Wintraecken","doi":"10.1007/s41468-019-00029-8","DOIUrl":"https://doi.org/10.1007/s41468-019-00029-8","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-019-00029-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41491289","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: 52
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