Cross-identification of stellar catalogs with multiple stars: Complexity and Resolution

Q2 Mathematics

Electronic Notes in Discrete Mathematics Pub Date : 2018-08-01 DOI:10.1016/j.endm.2018.07.005

Daniel Severín

引用次数: 0

Abstract

In this work, I present an optimization problem which consists of assigning entries of a stellar catalog to multiple entries of another stellar catalog such that the probability of such assignment is maximum. I show a way of modeling it as a Maximum Weighted Stable Set Problem which is further used to solve a real astronomical instance and I partially characterize the forbidden subgraphs of the resulting family of graphs given by that reduction. Finally, I prove that the problem is N P-Hard.

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多星星表的交叉识别:复杂性和分辨率

在这项工作中，我提出了一个优化问题，该问题包括将一个恒星表的条目分配给另一个恒星表的多个条目，使这种分配的概率最大。我展示了一种将其建模为最大加权稳定集问题的方法，该方法进一步用于解决实际的天文实例，并且我部分描述了由该约简给出的结果图族的禁止子图。最后，我证明了这个问题是np - hard。

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

Electronic Notes in Discrete Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Electronic Notes in Discrete Mathematics is a venue for the rapid electronic publication of the proceedings of conferences, of lecture notes, monographs and other similar material for which quick publication is appropriate. Organizers of conferences whose proceedings appear in Electronic Notes in Discrete Mathematics, and authors of other material appearing as a volume in the series are allowed to make hard copies of the relevant volume for limited distribution. For example, conference proceedings may be distributed to participants at the meeting, and lecture notes can be distributed to those taking a course based on the material in the volume.