从度规重构分段分布空间

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Discrete Applied Mathematics Pub Date : 2025-06-23 DOI:10.1016/j.dam.2025.05.027

Jan Pavlík

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引用次数: 0

摘要

在本文中，我们对分段分布空间上的度量给出了新的认识，主要集中在有限空间上。该研究基于Pavlík（2023）中提出的结果，并侧重于诱导度量。本文传递的主要信息是，每个sd空间都可以由其诱导度量唯一地重建。

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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Reconstruction of segmentationally distributive space from its metric

In this paper we present new insights on the metric on segmentationally distributive space with the main focus on the finite ones. The research is build on the results presented in Pavlík (2023) and focuses on the induced metric. The main message brought by the paper is that each SD-space can be uniquely reconstructed from its induced metric.

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来源期刊

Discrete Applied Mathematics 数学-应用数学

CiteScore

2.30

自引率

9.10%

发文量

422

审稿时长

4.5 months

期刊介绍： The aim of Discrete Applied Mathematics is to bring together research papers in different areas of algorithmic and applicable discrete mathematics as well as applications of combinatorial mathematics to informatics and various areas of science and technology. Contributions presented to the journal can be research papers, short notes, surveys, and possibly research problems. The "Communications" section will be devoted to the fastest possible publication of recent research results that are checked and recommended for publication by a member of the Editorial Board. The journal will also publish a limited number of book announcements as well as proceedings of conferences. These proceedings will be fully refereed and adhere to the normal standards of the journal. Potential authors are advised to view the journal and the open calls-for-papers of special issues before submitting their manuscripts. Only high-quality, original work that is within the scope of the journal or the targeted special issue will be considered.