20.500.12556/DKUM-45185 OCENJEVANJE FRAKTALNOSTI PROSTORSKOVPETIH KOMPLEKSNIH MREŽ SPATIALLY - EMBEDDED COMPLEX NETWORK ESTIMATION USING FRACTAL DIMENSION V magistrskem delu opišemo dve zelo zanimivi področji računalništva, kompleksne mreže in fraktale. S kompleksnimi mrežami lahko na preprost in enostaven način predstavimo sestavljene in težko opisljive strukture. Vozlišča v našem primeru predstavljajo objekte v prostoru, povezave med njimi pa interakcije. Zato govorimo o prostorskovpetih mrežah. Drugi del magistrskega dela predstavljajo fraktali, ki s svojo lastnostjo samopodobnosti vzbujajo veliko pozornosti v svetu računalništva. Dejanske fraktale je težko opisati in prepoznati, eden od načinov pa je s pomočjo fraktalne dimenzije. S fraktalno dimenzijo lahko opišemo kakršnekoli fraktale, dimenzija pa je značilno manjša od prostora, v katerega so vpeti. V tem magistrskem delu predstavimo postopek ocenjevanja fraktalnosti mrež. Razvita metoda temelji na štetju zasedenih škatelj. Z rezultati pokažemo njeno učinkovitost pri razpoznavi fraktalnih struktur, skritih v prostorskovpetih mrežah. In this thesis we describe two very interesting areas of computer science: complex networks and fractals. With the complex networks we can, in an easy and simple manner, present composite structures and structures that are difficult to describe. In our case, the nodes present the objects in space, while the connections between them present interactions. We talk about spatially embedded networks. The second part of the thesis consider fractals, which with their characteristic of self-similarity raise a lot of attention in the world of computer science. The actual fractals are difficult to describe and to recognize, one of the ways to do so is with the help of fractal dimension. With the fractal dimension we can describe any kinds of fractals and the dimension is smaller than the space in which they are embedded. With the implementation of the box-counting algorithm we have assessed the fractality of the spatially embedded networks. We show that spatially embedded networks have fractal properties. kompleksni sistemi kompleksne mreže fraktali fraktalna dimenzija ocenjevanje fraktalnosti algoritmi complex systems complex networks fractals fractal dimension estimation of fractal dimension algorithms true true false [D. Jesenko] Slovenski jezik Angleški jezik Magistrsko delo/naloga 2014-08-16 02:16:04 2014-08-22 14:55:51 2022-05-15 03:06:16 2021-05-02 03:23:19 2014 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 004.421:530.191(043.2) 18055446 URN:SI:UM:DK:JXVRJSTC MAG_Jesenko_David_2014.pdf MAG_Jesenko_David_2014.pdf 1 837042CDD782DE022D360AB2872C487B 326bdcfb0a256935b5abfb97081ea36f4ca1476a6e63c8edc64181786ea6ac4d 09a14f92-7c0b-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=65348 Fakulteta za elektrotehniko, računalništvo in informatiko 0 0 0