Fibonaccijeva dimenzija resonančnih grafov katakondenziranih in benzenoidnih grafov : magistrsko delo : na študijskem programu 2. stopnje Matematika

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Fibonaccijeva dimenzija resonančnih grafov katakondenziranih in benzenoidnih grafov : magistrsko delo : na študijskem programu 2. stopnje Matematika

Rebernik, Janja

Tema magistrskega dela je Fibonaccijeva dimenzija resonančnih grafov katakondenziranih benzenoidnih grafov. V delu predstavimo katakondenzirane benzenoidne grafe in problem določitve Fibonaccijeve ... dimenzije grafa, pri tem namenimo posebno pozornost določitvi Fibonaccijeve dimenzije resonančnih grafov katakondenziranih benzenoidnih grafov, za katere je opisan in implementiran tudi algoritem, ki izračuna Fibonaccijevo dimenzijo. V sklopu magistrskega dela je predstavljen in implementiran tudi algoritem, ki določi kanonično vložitev resonančnega grafa katakondenziranega benzenoidnega grafa v hiperkocko. Delo je razdeljeno na pet delov. V prvem delu so opisani osnovni pojmi in definicije. V drugem delu so predstavljeni katakondenzirani benzenoidni grafi in algoritem, ki določi kanonično vložitev resonančnega grafa katakondenziranega benzenoidnega grafa v hiperkocko. V tretjem delu je predstavljen problem določitve Fibonaccijeve dimenzije grafa. V četrtem delu pa ta problem omejimo na katakondenzirane benzenoidne grafe ter predstavimo algoritem za izračun Fibonaccijeve dimenzije resonančnih grafov katakondenziranih benzenoidnih grafov, ki ima linearno časovno zahtevnost. V petem delu opišemo implementacijo omenjenih algoritmov v programskem jeziku C++ in na primeru pokažemo delovanje programa.

Type of material - master's thesis ; adult, serious

Publication and manufacture - Maribor : [J. Rebernik], 2016

Language - slovenian

COBISS.SI-ID - 22189832

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Digital Library of the University of Maribor – DLUM

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Author
Rebernik, Janja

Other authors
Vesel, Aleksander

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Call number – location, accession no. ...	Copy status	Reservation
D MAG 51 REBERNIK J. Fibonaccijeva IN: 920160024	available - reading room

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Year	Impact factor		Edition		Category		Classification
Year	JCR	SNIP	JCR	SNIP	JCR	SNIP	JCR	SNIP

Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Rebernik, Janja
Vesel, Aleksander	11666

Source: Personal bibliographies and: SICRIS

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