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Primerjava algoritmov za izdelavo in reševanje labirintov
ID KERŽAN, ŽIGA (Author), ID Rožanc, Igor (Mentor) More about this mentor... This link opens in a new window

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Abstract
V diplomski nalogi predstavljamo algoritme, ki tvorijo in rešujejo labirinte. Po predstavitvi značilnosti labirintov smo najprej predstavili njihovo povezavo z grafi. Izbrali smo pet znanih algoritmov iz literature in dva naša izvirna algoritma za tvorbo ter dva algoritma za reševanje labirintov. Vse algoritme smo opisali, izpostavili njihove dobre in slabe strani ter jih implementirali. Združili smo jih v aplikaciji, v kateri lahko labirinte rešujemo ali pa opazujemo njihovo tvorbo z različnimi algoritmi. Aplikacija je bila spisana v programskem jeziku Pyhton. V zadnjem delu je prikazana še analiza časovne in prostorne zahtevnosti. Ta kaže, da je za tvorbo labirintov najhitrejši in najmanj potraten algoritem z uporabo dvojiških dreves, naša algoritma pa tudi ne zaostajata veliko.

Language:Slovenian
Keywords:labirint, algoritem, minimalna vpeta drevesa, Kruskalov algoritem, Primov algoritem, BFS, DFS, časovna analiza, prostorska analiza
Work type:Bachelor thesis/paper
Typology:2.11 - Undergraduate Thesis
Organization:FRI - Faculty of Computer and Information Science
Year:2024
PID:20.500.12556/RUL-155261 This link opens in a new window
COBISS.SI-ID:190814211 This link opens in a new window
Publication date in RUL:22.03.2024
Views:78
Downloads:13
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Secondary language

Language:English
Title:Comparison of algorithms for maze creation and solving
Abstract:
In this thesis, we present algorithms for creating and solving of labyrinths. We presented the characteristics of labyrinths and how are they related to the graphs. We selected five known algorithms from the literature, two of our own for creation and two algorithms for solving labyrinths. All algorithms are described, presented with their good and bad sides and implemented. All algorithms are part of an application which allows labyrinth solving and presentation of step by step construction. The application is written in Python programming language. In the last part, an analysis of time and space complexity is shown, which proves binary tree algorithm is the fastest and least expensive algorithm for creating labyrinths. Our two algorithms have similar performance, too.

Keywords:labrynth, algorithm, minimum spanning trees, Kruskal's algorithm, Prim's algorithm, BFS, DFS, time analysis, space analysis

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