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Minimalni rang simetričnih matrik : magistrsko deloHerbaj, Valentina, 1984-Obravnavamo minimalni rang družine simetričnih matrik z vnaprej predpisanim vzorcrm ničelnih in neničelnih vrednosti. Ekvivalentno lahko to družino podamo z enostavnim grafom. Ogledamo si povezavo ... med minimalnim rangom in maksimalno večkratnostjo lastnih vrednosti matrik. Določimo minimalni rang za nekatere družine grafov, npr. za polne grafe, polne dvodelne grafe, poti, cikle, drevesa. Karakteriziramo grafe na ▫$n$▫ točkah, ki imajo minimalni rang enak ▫$1, 2, n-2, n-1$▫. Ukvarjamo se z minimalnim rangom za grafe s prereznimi točkami in minimalnim rangom enocikličnih grafov.Type of material - master's thesis ; adult, seriousPublication and manufacture - Ljubljana : [V. Herbaj], 2011Language - slovenianCOBISS.SI-ID - 15909977
Author
Herbaj, Valentina, 1984-
Other authors
Oblak, Polona, matematika |
Košir, Tomaž, 1962-
Topics
linearna algebra |
teorija grafov |
minimalni rang |
maksimalna večkratnost |
simetrična matrika |
enostavni graf |
drevo |
enociklični graf |
prerezna točka |
linear algebra |
graph theory |
minimum rank |
maximum multiplicity |
simmetric matrix |
simple graph |
tree |
unicyclic graph |
cut-vertex
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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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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Herbaj, Valentina, 1984- | |
Oblak, Polona, matematika | 22723 |
Košir, Tomaž, 1962- | 08398 |
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