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

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 us...

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Detalles Bibliográficos
Autor principal: Severín, Daniel Esteban
Formato: article artículo acceptedVersion
Lenguaje:Inglés
Publicado: Elsevier 2020
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Acceso en línea:http://hdl.handle.net/2133/18963
http://hdl.handle.net/2133/18963
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Sumario: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 NP-Hard.