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Mathematical methods in some ranking models
 Pažourek, Lubomír ; Kureš, Miroslav (referee) ; Čermák, Jan (advisor)
The bachelor thesis deals with the mathematical essence of some ranking methods. Their unifying element is the so-called Perron-Frobenius theorem for non-negative and irreducible matrices, which formulates the conditions for the existence of a positive eigenvalue and a positive eigenvector of the given matrix. The goal of the thesis consists in providing an overview of the necessary theoretical results, explaining their application within some ranking methods and performing simulations during the evaluation of some competitions.
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