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Presek treh najdaljših poti v grafu : diplomsko deloValek, NatalijaDiplomsko delo obravnava problem preseka najdaljših poti v grafu. Poseben poudarek je na preseku treh najdaljših poti, kateremu je namenjeno četrto poglavje. V prvem delu so zapisane osnovne ... definicije s področja teorije grafov, ki se uporabljajo v nadaljevanju. V naslednjem poglavju se najprej dokaže nepraznost preseka dveh najdaljših poti, nato se presek iz dveh najdaljših poti posploši na presek n najdaljših poti. Podanih je nekaj grafov s praznim presekom najdaljših poti. V zadnjem delu poglavja se dokaže nepraznost preseka za sledljiv, hiposledljiv in razcepljen graf. Sledi poglavje, v katerem se osredotočimo na presek najdaljših poti v posameznih blokih grafa. Dokaže se, da je presek najdaljših poti v grafu neprazen natančno takrat, ko je neprazen presek v vseh blokih grafa. Zadnje poglavje je namenjeno preseku treh najdaljših poti. Podan je tudi dokaz o nepraznosti preseka treh najdaljših poti v zunanje ravninskih grafih.Type of material - undergraduate thesis ; adult, seriousPublication and manufacture - Maribor : [N. Valek], 2010Language - slovenianCOBISS.SI-ID - 17740296
Author
Valek, Natalija
Other authors
Klavžar, Sandi
Topics
Univerzitetna in visokošolska dela |
matematika |
grafi |
pot |
najdaljša pot |
presek |
ravninski grafi |
diplomska dela
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Library/institution |
City | Acronym | For loan | Other holdings |
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Miklošič Library FPNM, Maribor | Maribor | PEFMB |
reading room 1 cop.
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Year | Impact factor | Edition | Category | Classification | ||||
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JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
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DRS, in which the journal is indexed
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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Valek, Natalija | ![]() |
Klavžar, Sandi | 05949 |
Source: Personal bibliographies
and: SICRIS
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