|
| |
|
|
Graph theory - implementation of selected problems
Stráník, František ; Rajmic, Pavel (referee) ; Koutný, Martin (advisor)
This work is intended on identification with basic problems from the graphs theory area. There are the basic conceptions as well more complicated problems described. The one part of this work is specialized in working of individual types of graphs. It starts with single linked list through double linked list after as much as trees which represented the simplest graphs textures. The other part of this work devotes to the whole graph and describes more complicated problems and their resolution from the theory graphs area. Among these problems belongs to searching in graphs help by Depth First Search and Breadth First Search methods. Then searching the shortest way help by the specific algorithms as are: Dijkstra´s algorithm, Floyd-Warshall´s algorithm and Bellman-Ford´s algorithm. The last part is devoted to problems with searching minimal frames of graphs with usage Kruskal´s algorithm, Jarnik´s algorithm and Boruvka´s algorithm methods.
|
|
| |
|
|
Graphs and Shortest Path Algorithms
Hamerník, Michal ; Nowák, Jiří (referee) ; Bobalová, Martina (advisor)
This bachelor thesis represents an educational text focused on graph theory and graph algorithms. The graph theory often helps to solve problems between parts of a complicated unit and graph algorithms are quick and effective in their optimization. Basics of graph theory, samples of graph algorithms and practical examples of use are described in it. This thesis can be used as a supplementary text in Discrete Mathematics taught at Faculty of Business and Management in Brno University of Technology.
|
|
| |
|
|
Optimal path planning for electric vehicles
Horák, Filip ; Šoustek, Petr (referee) ; Kůdela, Jakub (advisor)
This master’s thesis is about optimal route planning for electric vehicles. The first, theoretical part of this work introduces the issue and describes several heuristic methods that have been used to address optimization tasks. A practical part of the thesis is based around software implementation of the methods described earlier. Finally, several experiments and comparisons of obtained results are carried out.
|
|
|
Systems for remote measurement in power engineering
Hudec, Lukáš ; Mlýnek, Petr (referee) ; Mišurec, Jiří (advisor)
The work deals with the measurement and management in power. Provides an introduction to the problems of remote meter reading, management, and describes the current situation in the field of modern technologies Smart metering and Smart grids. It also analyzed the issue of collection of networks and data collection from a large number of meters over a wide area. For the purpose of data transmission are described GPRS, PLC, DSL, ... Further, there are given options to streamline communication. This area is used hierarchical aggregation. Using k-means algorithm is a program designed to calculate the number of concentrators and their location in the group of meters. The finished program is written in Java. It has a graphical interface and shows how the calculation is conducted. To verify the results of the optimization program is given simulation model in OPNET Modeler tool. Audited results are described in the conclusion and can deduce that using the optimization program is to streamline communications.
|
|
|
The Shortest Graph's Pahts Finding
Jágr, Petr ; Ohlídal, Miloš (referee) ; Jaroš, Jiří (advisor)
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.
|
|
|
Demonstration of Graph Algorithms
Varadinek, Jakub ; Zámečníková, Eva (referee) ; Křivka, Zbyněk (advisor)
This bachelor thesis deals with the development of the application for demonstration and visualization of several graph algorithms. The application allows the user to create a graph, rate edges or name and layout vertices. The individual algorithms can be performed in created graph for visual observation how the algorithm works. There is also the possibility of stepping through the chosen algorithm and an interactive mode where next steps are selected by the user and the application checks the correctness of these steps.
|
|
|
Shortest Paths in a Graph
Krauter, Michal ; Křivka, Zbyněk (referee) ; Masopust, Tomáš (advisor)
This thesis deals with shortest paths problem in graphs. Shortest paths problem is the basic issue of graph theory with many pracitcal applications. We can divide this problem into two following generalizations: single-source shortest path problem and all-pairs shortest paths problem. This text introduces principles and algorithms for generalizations. We describe both classical and new more efficient methods. It contains information about how some of these algorithms were implemented and offers an experimental comparison of these algorithms.
|
guest ::
