Thesis Details

Hledání nejkratších cest grafem

Bachelor's Thesis Student: Jágr Petr Academic Year: 2006/2007 Supervisor: Jaroš Jiří, doc. Ing., Ph.D.
English title
The Shortest Graph's Pahts Finding
Language
Czech
Abstract

The aim of this thesis is finding, comparing and implementation of algorithms for finding the shortest paths between each of pairs of nodes in a graph. For this task I use modifications of existing algorithms to achive the lowest time consumption of the computation. Modifications are established on Dijkstra's and Floyd-Warshall's algorithm. We also familiarize with Bellman-Ford algorithm.

Keywords

algorithm, asymptotic notation, Bellman-Ford algorithm, complete graph, degree of a vertex, Dijkstra's algorithm, directed graph, divide and conquer algorithms, dynamic programming, Floyd-Warshall algorithm, genetic algorithms, graph teory, greedy algorithms, heuristic algorithms, Java, loop, move, Omega, Omicron, paralel algorithms, path, path planning, recursive algorithms, regular graph, sequence, the shortest path, Theta, undirected graph, weighted graph

Department
Degree Programme
Information Technology
Files
Status
defended, grade E
Date
27 August 2007
Reviewer
Committee
Honzík Jan M., prof. Ing., CSc. (DIFS FIT BUT), předseda
Křena Bohuslav, Ing., Ph.D. (DITS FIT BUT), člen
Kunovský Jiří, doc. Ing., CSc. (DITS FIT BUT), člen
Motyčka Arnošt, doc. Ing., CSc. (Mendelu), člen
Ryšavý Ondřej, doc. Ing., Ph.D. (DIFS FIT BUT), člen
Citation
JÁGR, Petr. Hledání nejkratších cest grafem. Brno, 2007. Bachelor's Thesis. Brno University of Technology, Faculty of Information Technology. 2007-08-27. Supervised by Jaroš Jiří. Available from: https://www.fit.vut.cz/study/thesis/4340/
BibTeX
@bachelorsthesis{FITBT4340,
    author = "Petr J\'{a}gr",
    type = "Bachelor's thesis",
    title = "Hled\'{a}n\'{i} nejkrat\v{s}\'{i}ch cest grafem",
    school = "Brno University of Technology, Faculty of Information Technology",
    year = 2007,
    location = "Brno, CZ",
    language = "czech",
    url = "https://www.fit.vut.cz/study/thesis/4340/"
}
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