Miklošič Library FPNM, Maribor (PEFMB)
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Barvanja grafov, ki so brez ponavljanj po licih : diplomsko deloZemljič, Sara SabrinaDiplomsko delo obravnava osnovne lastnosti barvanj grafov brez ponavljanj. Osrednja tema je barvanje povezav ravninskih grafov brez ponavljanj po licih. Na začetku diplomskega dela so predstavljene ... osnovne definicije iz teorije grafov, ki jih bomo potrebovali v nadaljevanju. V drugem poglavju vpeljemo barvanje grafov brez ponavljanj in naredimo pregled nad že znanimi rezultati o teh barvanjih. Na koncu drugega poglavja definiramo barvanje povezav ravninskih grafov brez ponavljanj po licih ter njemu pripadajoč Thuejev lični indeks, ki predstavlja najmanjše število barv, s katerimi lahko pobarvamo graf brez ponavljanj po licih. Tretje poglavje je v celoti namenjeno obravnavi barvanja dreves brez ponavljanj po licih. V tem poglavju dokažemo, da je Thuejev lični indeks dreves kvečjemu 4, kar je osnova za dokaz splošne zgornje meje Thuejevega ličnega indeksa. Na koncu pokažemo, da je Thuejev lični indeks poljubnega ravninskega grafa največ 8. Navedemo še nekaj posebnih družin ravninskih grafov, kjer se ta zgornja meja zmanjša.Type of material - undergraduate thesis ; adult, seriousPublication and manufacture - Maribor : [S. S. Zemljič], 2010Language - slovenianCOBISS.SI-ID - 17859080
Author
Zemljič, Sara Sabrina
Other authors
Klavžar, Sandi
Topics
Univerzitetna in visokošolska dela |
matematika |
grafi |
barvanje |
Thuejevo število |
Thuejev indeks |
ravninski grafi |
drevesa |
diplomska dela
Call number – location, accession no. ... |
Copy status | Reservation |
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M DIPL 0000000051 ZEMLJIČ S.S. Barvanja IN: 920100064 M DIPL 51 ZEMLJIČ S.S. Barvanja IN: 920100064 |
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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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Zemljič, Sara Sabrina | 33306 |
Klavžar, Sandi | 05949 |
Source: Personal bibliographies
and: SICRIS
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