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Minor-monotone invariante grafov : magistrsko deloFijavž, GašperYves Colin de Verdière je definiral grafovsko invarianto ▫$\mu$▫, ki povezuje spektralne in topološke lastnosti grafa. Z njo na primer karakteriziramo grafe, na vrhu vsega pa je monotona za minorje. ... Na tem mestu so predstavljeni rezultati v zvezi s Schrödingerjevimi matrikami grafov, ki jih potrebujemo pri definiciji invariante ▫$\mu$▫. Z ▫$\mu$▫ karakteriziramo tako ravninske kot ploščate grafe. V nadaljevanju predstavimo sorodno invarianto ▫$\lambda$▫, njeno zvezo z orientiranimi matroidi in podamo algoritem za računanje ▫$\lambda$▫ s pomočjo orientiranih matroidov.Type of material - master's thesisPublication and manufacture - Ljubljana : [G. Fijavž], 1999Language - slovenianCOBISS.SI-ID - 8727641
Author
Fijavž, Gašper
Other authors
Mohar, Bojan, 1956-
Topics
matematika |
teorija grafov |
minor grafa |
minor-monotona lastnost |
Schrödingerjeva matrika |
ravninski grafi |
ploščati grafi |
orientirani matroidi |
graph minor |
minor-monotone graph invariant |
discrete Schrödinger operator |
planar graph |
flat graph |
oriented matroid
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FMF and IMFM, Mathematical Library, Ljubljana | Ljubljana | MAKLJ |
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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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Fijavž, Gašper | 16332 |
Mohar, Bojan, 1956- | 01931 |
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