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Hamiltonovi cikli v kubičnih grafih : diplomsko deloAleš, JanezV uvodnem poglavju so vpeljani nekateri osnovni pojmi teorije grafov.Dokazani so nekateri znani rezultati, na primer Petersenov izrek in Tutteov izrek o obstoju 1-faktorja v grafu.Drugo poglavje ... zajema učinkovit hevristični algoritem za iskanje Hamiltonovih ciklov v kubičnih grafih.Predstavljena je tudi uspešna procedura za iskanje Hamiltonovih ciklov v kubičnih grafih, ki deluje na principu sestopanja.V tretjem poglavju so podane tri predstavitve povezanih 1-tranzitivnih kubičnih grafov, ki so zbrani v knjigi The Foster census of connected symmetric trivalent graphs.V nekaterih grafih iz te zbirke je opisani hevristični algoritem našel Hamiltonove cikle, čeprav doslej ni bilo znano, da so hamiltonski.V zadnjem poglavju si ogledamo grupo PSLČ(7).Z opisanim hevrističnim algoritmom in proceduro sestopanja je dokazana hamiltonost vseh neizomorfnih kubičnih Cayleyevih grafov grupe PSLČ(7).Type of material - undergraduate thesisPublication and manufacture - Ljubljana : [J. Aleš], 1990Language - slovenianCOBISS.SI-ID - 3530585
Author
Aleš, Janez
Other authors
Mohar, Bojan, 1956-
Topics
matematika |
teorija grafov |
Cayleyev graf |
kubičen graf |
Hamiltonov cikel |
mathematics |
graph theory |
Cayley graph |
cubic graph |
Hamilton cycle |
projective special linear group
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Univerzitetna knjižnica skladišče dd ALEŠ JANEZ Hamiltonovi IN: 04000000367 Univerzitetna knjižnica skladišče dd ALEŠ JANEZ Hamiltonovi IN: 04000000367 |
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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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Aleš, Janez | 12066 |
Mohar, Bojan, 1956- | 01931 |
Source: Personal bibliographies
and: SICRIS
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