National and University Library, Ljubljana (NUK)
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Razdalje med grafi in razdaljni grafi : magistrsko deloGorše Pihler, MelitaMagistrsko delo obravnava štiri različne metrike: ME-razdaljo, ER-razdaljo, ES-razdaljo in EJ-razdaljo, kjer ME pomeni minimalno vložitev, ER rotacijo povezave, ES zdrs povezave in EJ skok povezave. ... Glede na vsako od teh metrik na množici grafov S definiramo razdaljni graf, katerega točke so elementi množice S, točki G in H razdaljnega grafa pa sta povezani natanko tedaj, ko je razdalja med grafoma G in H enaka 1. Pojavi se osnovni problem: določiti, kateri grafi so razdaljni grafi. Znano je, da so grafi ▫$K_{2,n}(n \in N)$▫ N) in ▫$K3_{3,3}$▫ ME-razdaljni grafi, cikli, kolesa, polni grafi, grafi povezav in polni dvodelni grafi so ER-razdalj ni grafi, vsi grafi so ES-razdaljni grafi in cikli, polni grafi in komplementi grafov povezav so EJ-razdaljni grafi. Dokažemo, da so tudi delne kocke in grafa ▫$K_{3,4}$▫ in ▫K_{3,5}$▫ ME-razdaljni grafi, delni Hammingovi grafi, torusi in inducirani podgrafi polnih dvodelnih grafov so ER-razdaljni grafi in delni Hammingovi grafi in torusi so EJ-razdaljni grafi. V zadnjem poglavju pokažemo možnost uporabe razdalje med grafi na primeru prepoznavanja prstnih odtisov.Type of material - master's thesis ; adult, seriousPublication and manufacture - Maribor : [M. Gorše Pihler], 2006Language - slovenianCOBISS.SI-ID - 228040704
Author
Gorše Pihler, Melita
Other authors
Žerovnik, Janez, 1958-
Topics
Grafi |
Magistrske naloge |
Teorija grafov |
Magistrske naloge |
Prstni odtisi |
Magistrske naloge |
razdalja med grafoma |
razdaljni grafi |
rotacija povezave |
zdrs povezave |
skok povezave
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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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Gorše Pihler, Melita | 27936 |
Žerovnik, Janez, 1958- | 03430 |
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