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Asymptotic Complexity of Algorithms via the Nonsymmetric Hausdorff Distance

In: Computing Letters
Authors:
Jesús Rodríguez-López E.T.S. Ingenieros de Caminos, Canales y Puertos Departamento de Matemática Aplicada Instituto de Matemática Pura y Aplicada Universidad Politécnica de Valencia 46022 Valencia Spain jrlopez@mat.upv.es; sromague@mat.upv.es

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Salvador Romaguera E.T.S. Ingenieros de Caminos, Canales y Puertos Departamento de Matemática Aplicada Instituto de Matemática Pura y Aplicada Universidad Politécnica de Valencia 46022 Valencia Spain jrlopez@mat.upv.es; sromague@mat.upv.es

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Oscar Valero Departamento de Matemáticas e Informática Universidad de las Islas Baleares 07122 Palma de Mallorca Baleares Spain o.valero@uib.es

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The theory of nonsymmetric topology has been successfully applied to the theory of complexity of algorithms. In 1995, Schellekens introduced a quasi-pseudo-metric space in order to obtain a mathematical model for the study of complexity of algorithms. Here, we provide a mathematical context to study the asymptotic complexity of algorithms.

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