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undergraduate thesis
Teorija grafova u analizi električnih mreža
2020. urn:nbn:hr:190:127428
Markota, Ana
University of Rijeka
Faculty of Engineering
Department of Mathematics, Physics, and Foreign Languages
Section of Applied Mathematics

Cite this document

Markota, A. (2020). Teorija grafova u analizi električnih mreža (Undergraduate thesis). Rijeka: University of Rijeka, Faculty of Engineering. Retrieved from https://urn.nsk.hr/urn:nbn:hr:190:127428

Markota, Ana. "Teorija grafova u analizi električnih mreža." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2020. https://urn.nsk.hr/urn:nbn:hr:190:127428

Markota, Ana. "Teorija grafova u analizi električnih mreža." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2020. https://urn.nsk.hr/urn:nbn:hr:190:127428

Markota, A. (2020). 'Teorija grafova u analizi električnih mreža', Undergraduate thesis, University of Rijeka, Faculty of Engineering, accessed 07 September 2024, https://urn.nsk.hr/urn:nbn:hr:190:127428

Markota A. Teorija grafova u analizi električnih mreža [Undergraduate thesis]. Rijeka: University of Rijeka, Faculty of Engineering; 2020 [cited 2024 September 07] Available at: https://urn.nsk.hr/urn:nbn:hr:190:127428

A. Markota, "Teorija grafova u analizi električnih mreža", Undergraduate thesis, University of Rijeka, Faculty of Engineering, Rijeka, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:190:127428

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Metadata
TitleTeorija grafova u analizi električnih mreža
Title (english)Graph theory in analysis of electrical circuits
AuthorAna Markota
MentorIvan Dražić (mentor)
MentorViktor Sučić (komentor)
Committee memberViktor Sučić (predsjednik povjerenstva)
Committee memberIvan Dražić (član povjerenstva)
GranterUniversity of Rijeka
Faculty of Engineering
(Department of Mathematics, Physics, and Foreign Languages)
(Section of Applied Mathematics)
Rijeka
Defense date and country2020-09-16, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Electrical Engineering
Abstract
U uvodnom dijelu upoznajemo se s tematikom rada. Drugi dio opisuje povijest i problem na kojem je zapoceo razvoj teorije grafova. U trećem poglavlju ovog rada uvodimo pojam grafa, te se upoznajemo s definicijama ključnim za daljnja razmatranja. Upoznajemo se s definicijom grafa općenito, objašnjena je povezanost grafa, opisani su planarni grafovi i prikazan je kineski problem poštara. Četvrto poglavlje približava nam bojenje grafova, njihovih vrhova i bridova. Opisan je problem četiri boje i prikazana primjena. U petom poglavlju dana je primjena teorije grafova na primjeru jednostavne elektricne mreže. Objašnjeno je preslikavanje električne mreže na graf mreže, prikazano je definiranje stabla unutar grafa te definiranje topoloških matrica i dane su dvije metode rješavanja uobičajenih problema rješavanja električnih mreža.
Abstract (english)
In the introductory part, we get acquainted with the topic of the paper. The second part describes history and the problem on which the development of graph theory began. In the third chapter of this paper, we introduce the term graph, and get acquainted with the definitions crucial for further considerations. We are introduced to the definition of graphs in general, the connection of graphs is explained, planar graphs are described, and the Chinese postman problem is presented. The fourth chapter brings us closer to coloring graphs, their vertices and edges. The four color problem is described and the application is shown. In the fifth chapter, the application of graph theory is given on the example of a simple electric network. The mapping of the electric network to the network graph is explained, the definition of the tree within the graph and the definition of topological matrices are shown, and two methods of solving common problems of solving electric networks are given.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:190:127428
Study programmeTitle: Undergraduate University Study of Electrical Engineering
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
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Created on2021-10-01 09:25:36