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Lokalno ciklični grafi : magistrsko deloMalnič, AleksanderDelo obravnava poseben razred povezanih grafov - lokalno ciklične grafe, ki imajo to lastnost, da je za vsako vozlišče inducirani podgraf ma množici sosedov izomorfen ciklu (pri čemer so ti cikli za ... posamezna vozlišča lahko različni). V prvih petih poglavjih so na hitro povzeti najvažnejši koncepti iz teorije grafov, topologije in algebraične topologije, ki so potrebni za razumevanje vsebine. V šestem poglavju so definirani lokalno ciklični grafi in dokazane nekatere osnovne lastnosti, na primer, da ti grafi ustrazajo nekemu posebno lepemu razredu triangulacij sklenjenih ploskev. V sedmem je obdelan problem generiranja, če kot pravilo izpeljevanja izberemo ekspanzijo vozlišča v povezavo. Pokazano je, da pravilo ohranja trikotniško vložitev. Obravnava je formalno razdelana preko obratnih pravil generiranja, tj. skrčitev povezav, ki so morfizmi v neki prirejeni kategoriji. V osmem poglavju je podana karakterizacija baze induktivnega razreda. S tem je mogoče določiti bazo za podrazred planarnih lokalno cikličnih grafov. Določiti bazo na ploskvah višjih rodov je zelo težko, če je sploh možno. Pokazano pa je, vsaj za podrazred na poljubni orientabilni sklenjeni ploskvi, da je baza vedno končna.Type of material - master's thesisPublication and manufacture - Ljubljana : [A. Malnič], 1990Language - slovenianCOBISS.SI-ID - 3725657
Author
Malnič, Aleksander
Other authors
Pisanski, Tomaž
Topics
matematika |
teorija grafov |
topološke realizacije |
morfizmi |
induktivni razredi |
ploskve |
lokalno ciklični grafi
Library/institution |
City | Acronym | For loan | Other holdings |
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FMF and IMFM, Mathematical Library, Ljubljana | Ljubljana | MAKLJ |
reading room 1 cop.
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Faculty of Electrical Engineering, Lj. | Ljubljana | FERLJ |
reading room 1 cop.
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University of Primorska University Library | Koper - Capodistria | UPUK |
reading room 1 cop.
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JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
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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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Malnič, Aleksander | 02507 |
Pisanski, Tomaž | 01941 |
Source: Personal bibliographies
and: SICRIS
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