Persons at STU

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prof. RNDr. Martin Knor, PhD.

Identification number: 860

University e-mail: martin.knor [at] stuba.sk

Profesor CSc.,PhD. - Department of Mathematics and Constructive Geometry (FCE)

External colleague - Faculty of Informatics and Information Technologies (STU)

Supervised theses

Basic information

Basic information about a final thesis

Type of thesis:	Bachelor thesis
Thesis title:	Wiener index of directed trees
Written by (author):	Ing. Katarína Hajdinová
Department:	Department of Mathematics and Constructive Geometry (FCE)
Thesis supervisor:	prof. RNDr. Martin Knor, PhD.
Opponent:	Mgr. Katarína Hriňáková, PhD.
Final thesis progress:	Final thesis was successfully defended.

Additional information

Additional information about the final thesis follows. Click on the language link to display the information in the desired language.

Language of final thesis:

Slovak

Slovak English

Title of the thesis:	Wienerov index v orientovaných stromoch
Summary:	V tejto práci sa zaoberáme Wienerovým indexom v orientovaných stromoch. Chceme zistiť, ako zorientovať hrany stromu tak, aby bol Wienerov index čo najväčší. Máme hypotézu, že ak je tento index najväčší možný, tak v strome existuje vrchol v, pre ktorý platí, že pre každý ďalší vrchol w existuje orientovaná cesta medzi v a w. Hodnotu Wienerovho indexu a existenciu vrcholu v zisťujeme pomocou počítačového programu. V práci používame zoznam všetkých orientovaných stromov s najviac desiatimi vrcholmi, program sa však dá použiť aj pre viac vrcholové stromy. Cieľom tejto práce je zistiť, či je hypotéza pravdivá pre stromy s nanajvýš desiatimi vrcholmi.
Key words:	Wienerov index, stredový uzol, strom

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