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Problem izomorfizma podgrafov ravninskih grafov : magistrsko delo : na študijskem programu 2. stopnje MatematikaKelenc, AleksanderV problemu izomorfizma podgrafov imamo podana dva grafa G in H. Za njiju je potrebno ugotoviti, ali graf G vsebuje podgraf, ki je izomorfen grafu H. Problem je v splošnem NP-poln. V magistrskem delu ... se omejimo na problem izomorfizmov podgrafov ravninskih grafov. V prvem poglavju so opisani osnovni pojmi in definicije, ki jih potrebujemo v nadaljevanju. V drugem poglavju so najprej opisani drevesna dekompozicija, delni izomorfizem, meja delnega izomorfizma in konsistentnost. Potem je opisan postopek za učinkovito iskanje izomorfizmov podgrafov v ravninskih grafih z omejeno drevesno širino. Nadalje predstavimo, kako pokrijemo poljuben ravninski graf s podgrafi, ki imajo omejeno drevesno širino. Na koncu je podan algoritem za iskanje izomorfizmov podgrafov ravninskih grafov, ki teče v linearnem času za vsak povezan graf H z omejeno velikostjo.Type of material - master's thesis ; adult, seriousPublication and manufacture - Maribor : [A. Kelenc], 2013Language - slovenianCOBISS.SI-ID - 20051208
Author
Kelenc, Aleksander
Other authors
Taranenko, Andrej
Topics
Univerzitetna in visokošolska dela |
ravninski grafi |
podgrafi |
izomorfizem |
drevesna širina |
dinamično programiranje |
magistrska dela |
planar graph |
subgraphs |
isomorphism |
tree width |
dynamic programming |
master theses
Library/institution |
City | Acronym | For loan | Other holdings |
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Miklošič Library FPNM, Maribor | Maribor | PEFMB |
reading room 1 cop.
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Year | Impact factor | Edition | Category | Classification | ||||
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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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Kelenc, Aleksander | 37839 |
Taranenko, Andrej | 21821 |
Source: Personal bibliographies
and: SICRIS
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