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Representation of special classes of combinatorial objects
Scholleová, Barbora ; Nešetřil, Jaroslav (advisor) ; Loebl, Martin (referee)
The aim of this thesis is to bring together two areas of the graph theory. We first give a brief exposition of graph homomorphisms and related notions that directs to the definition of the replacement operation by using an appropriate replacement graph. The tree-depth is investigated as one of considerable chara- cteristics of each graph. Finally we focus on category representations in the category Graph of all finite graphs and Graphk of all finite graphs with tree-depth at most k.
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Representation of special classes of combinatorial objects
Scholleová, Barbora ; Nešetřil, Jaroslav (advisor) ; Loebl, Martin (referee)
The aim of this thesis is to bring together two areas of the graph theory. We first give a brief exposition of graph homomorphisms and related notions that directs to the definition of the replacement operation by using an appropriate replacement graph. The tree-depth is investigated as one of considerable chara- cteristics of each graph. Finally we focus on category representations in the category Graph of all finite graphs and Graphk of all finite graphs with tree-depth at most k.
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Inequal Temperaments in history and today´s Practisis
Scholleová, Barbora ; TŮMA, Jaroslav (advisor) ; ČERNÝ, Pavel (referee)
This thesis is devoted to the historical temperaments. For their understanding it is necessary to become familiar with the sizes of the natural intervals resulting of the aliquot series. One must be able to determine the frequency rate of any interval and its size in cents.
It is outlined why there does not exist ideal tuning and therefore why any tuning is the compromise with different priorities and kinds of utilization. The path to today's widespread equal temperament was long, lots of various temperatures have been used throughout the history. The most important types are listed and described.
Currently, in connection with the pursuit of historically informed interpretation historical temperaments are used again. Old music sounds more trustworthy and sometimes, use of historical temperament can help the player to clearer perception of the content of music.
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