Problem izomorfizma podgrafov ravninskih grafov : magistrsko delo : na študijskem programu 2. stopnje Matematika

(UM)

Problem izomorfizma podgrafov ravninskih grafov : magistrsko delo : na študijskem programu 2. stopnje Matematika

Kelenc, Aleksander

V 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, serious

Publication and manufacture - Maribor : [A. Kelenc], 2013

Language - slovenian

COBISS.SI-ID - 20051208

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Digital Library of the University of Maribor – DLUM

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Library	Call number – location, accession no. ...	Copy status
Miklošič Library FPNM, Maribor	D MAG 51 KELENC A. Problem IN: 920130063	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
Kelenc, Aleksander	37839
Taranenko, Andrej	21821

Source: Personal bibliographies and: SICRIS

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