Miklošič Library FPNM, Maribor (PEFMB)
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Matematične uganke v teoriji grafov : na dvopredmetnem študijskem programu 2. stopnje Izobraževalna matematika : magistrsko deloJavornik, Maja, 1992-V magistrskem delu je predstavljenih več učencem zanimivih matematičnih ugank. Najprej obravnavamo različne matematične uganke skozi zgodovino vse od magičnih kvadratov do ugank novejšega časa, kot ... je Rubikova kocka. Nato se osredotočimo na teorijo grafov in predstavimo ikozaedersko igro, problem Köningsberških mostov, problem prečkanja reke brez mostov in problem štirih konjev. Kot uvod v obravnavo kitajskih prstanov predstavimo legendo o stolpu iz Brahme in vpeljemo Hanojske stolpe. Dokažemo optimalno rešitev Hanojskega stolpa z ▫$n \in{\mathbb{N}}_0$▫ diski. Med drugimi predstavimo variacijo Hanojskega stolpa, ki se imenuje zamenjevalni Hanojski stolp in predstavimo zgodovino kitajskih prstanov. Nazadnje problem kitajskih prstanov podrobneje raziščemo in dokažemo formulo za najhitrejšo rešitev problema.Type of material - master's thesis ; adult, seriousPublication and manufacture - Maribor : [M. Javornik], 2019Language - slovenianCOBISS.SI-ID - 25074440
Author
Javornik, Maja, 1992-
Other authors
Dravec, Tanja
Topics
Univerzitetna in visokošolska dela |
magistrska dela |
Kitajski prstani |
Hanojski stolpi |
Hamiltonovi grafi |
Eulerjevi grafi |
ravninski grafi |
master theses |
Chinese rings |
Tower of Hanoi |
Hamiltonian graph |
Euler graph |
planar graph
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Call number – location, accession no. ... |
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D MAG 0000000051 JAVORNIK M. Matematične IN: 920200001 D MAG 51 JAVORNIK M. Matematične IN: 920200001 |
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JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
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DRS, in which the journal is indexed
Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Javornik, Maja, 1992- | ![]() |
Dravec, Tanja | 32028 |
Source: Personal bibliographies
and: SICRIS
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