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Wydział Matematyki, Informatyki i Mechaniki

Wydział Matematyki, Informatyki i Mechaniki

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Approximation algorithms: new results for stochastic and parameterized problems

Włodarczyk, Michał (2019-07-03)

This doctoral dissertation is based on 3 articles, which I have written during my PhD studies. They consist of novel results in the theory of approximation algorithms. Two of them concern the subdomain of stochastic ...
Resolutions of quotient singularities and their Cox rings

Grab, Maksymilian (2019-05-28)

The aim of this dissertation is to investigate the geometry of resolutions of quotient singularities C n/G for G ⊂ SLn(C) with use of an associated algebraic object – the Cox ring. We are interested in construction of ...
Data structures and dynamic algorithms for planar graphs

Karczmarz, Adam (2019-05-28)

Obtaining provably efficient algorithms for the most basic graph problems like finding (shortest) paths or computing maximum matchings, fast enough to handle real-world-scale graphs (i.e., consisting of millions of ...
Analytic properties of operators on the non-reflexive spaces of smooth functions

Kazaniecki, Krystian (2019-05-22)

This doctoral thesis consist of four parts, in which the properties of operators on nonreflexive spaces of smooth functions are investigated.
Matrix methods in transcriptomic and metabolomic data analysis

Gogolewski, Krzysztof (2019-05-20)

In this dissertation we walk through various approaches of modelling and analysis of transcriptomic and metabolomic data. The dissertation opens with an introduction of the current state of the art in the context of ...

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