Doctoral dissertation in Mathematics and informatics

The dissertation has four chapters: Chapter 1 - Background Materials; Chapter 2 - Analysis of an Algorithm in Indefinite Quadratic Programming; Chapter 3 - Qualitative Properties of the Minimum Sum-of-Squares Clustering Problem; Chapter 4 - Some Incremental Algorithms for the Clustering Problem.

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Objectives: The main objective of the dissertation is to research and develop fuzzy clustering techniques on remote sensing image data in order to improve accuracy and improve clustering quality of clustering algorithms.

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The purpose of the dissertation is to research on the development of new and quality solutions using graph theory and automata, suggesting their applications in, and applying them to steganography and searchable encryption.

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