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Celoštevilske dominacijske invariante na grafih : diplomsko deloKomovec, LukaNaj bo Y podmnožica množice celih števil in G = (V ... E) graf. Funkcija, ki vsakemu vozlišču priredi neko vrednost iz množice Y, tako da je seštevek vrednosti v soseščini vsakega vozlišča vsaj 1, se ... imenuje celoštevilska dominacijska funkcija grafa G. Vrednost celoštevilske dominacijske funkcije v poljubni podmnožici S množice V definiramo kot seštevek vrednosti v vsakem vozlišču iz S. Teža celoštevilske dominacijske funkcije je vrednost funkcije v množici vozlišč V. Poiskati želimo po teži najmanjšo celoštevilsko dominacijsko funkcijo grafa G. V tem delu so predstavljene variacije različnih celoštevilskih dominacij, kot so {k}-dominacija, k-kratna dominacija, predznačena dominacija in minus dominacija, ki jih obravnavamo na razredih grafov kot so poti, cikli, pahljače, kolesa, ponve in trampolini. Podan je algoritem, ki v linearnem času reši problem L-dominacije na strogo tetivnih grafih. Prav tako je podana časovna zahtevnost izračuna naštetih celoštevilskih dominacijskih invariant za razrede dualno tetivnih, dvojno tetivnih in ravninskih grafov. Na koncu je na podoben način predstavljena 2-mavrična dominacija.Type of material - undergraduate thesis ; adult, seriousPublication and manufacture - Maribor : [L. Komovec], 2009Language - slovenianCOBISS.SI-ID - 16946440
Author
Komovec, Luka
Other authors
Brešar, Boštjan
Topics
Univerzitetna in visokošolska dela |
matematika |
grafi |
cela števila |
dominacija |
tetivni grafi |
dualno tetivni grafi |
diplomska dela
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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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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Komovec, Luka | |
Brešar, Boštjan | 17005 |
Source: Personal bibliographies
and: SICRIS
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