Partial matchings induced by morphisms between persistence modules

IF 0.4 4区计算机科学 Q4 MATHEMATICS

Computational Geometry-Theory and Applications Pub Date : 2023-06-01 DOI:10.1016/j.comgeo.2023.101985

R. Gonzalez-Diaz, M. Soriano-Trigueros, A. Torras-Casas

引用次数: 0

Abstract

We study how to obtain partial matchings using the block function $M_{f}$ , induced by a morphism f between persistence modules. $M_{f}$ is defined algebraically and is linear with respect to direct sums of morphisms. We study some interesting properties of $M_{f}$ , and provide a way of obtaining $M_{f}$ using matrix operations.

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持久模间态射引起的部分匹配

我们研究了如何使用块函数Mf来获得部分匹配，这是由持久性模块之间的态射f引起的。Mf是代数定义的，并且相对于态射的直和是线性的。我们研究了Mf的一些有趣的性质，并提供了一种使用矩阵运算获得Mf的方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computational Geometry-Theory and Applications 数学-数学

CiteScore

1.60

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： Computational Geometry is a forum for research in theoretical and applied aspects of computational geometry. The journal publishes fundamental research in all areas of the subject, as well as disseminating information on the applications, techniques, and use of computational geometry. Computational Geometry publishes articles on the design and analysis of geometric algorithms. All aspects of computational geometry are covered, including the numerical, graph theoretical and combinatorial aspects. Also welcomed are computational geometry solutions to fundamental problems arising in computer graphics, pattern recognition, robotics, image processing, CAD-CAM, VLSI design and geographical information systems. Computational Geometry features a special section containing open problems and concise reports on implementations of computational geometry tools.