VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Contributions to the study of contemporary domination invariants of graphs : doctoral dissertation
    Kos, Tim
    This doctoral dissertation is devoted to contemporary domination concepts, such as the Grundy domination, the convex domination, the isometric domination and the total domination. Our main focus is ... to study their structure and algorithmic properties. Four Grundy domination invariants are presented, namely the Grundy domination number, the Grundy total domination number, the Z-Grundy domination number, and the L-Grundy domination number. Some bounds and properties of Grundy domination invariants are proven. All four Grundy domination parameters are studied on trees, bipartite distance-hereditary graphs, split graphs, interval graphs, Sierpiński graphs, Kneser graphs and ▫$P_4$▫-tidy graphs. Graphs with equal total domination number and Grundy total domination number are investigated. Convex domination and isometric domination are studied on (weak) dominating pair graphs. For the chordal dominating pair graphs we present a polynomial algorithm to compute the convex domination number, and prove the NP-completeness of the corresponding decision problem for the chordal weak dominating pair graphs. For the isometric domination number of weak dominating pair graphs an efficient algorithm is presented. Total domination is studied on the Cartesian product of graphs. We dedicate ourselves to graphs for which the equality holds in Ho's theorem, which states that the total domination number of the Cartesian product of any two graphs without isolated vertices is at least one half of the product of their total domination numbers.
    Vrsta gradiva - disertacija ; neleposlovje za odrasle
    Založništvo in izdelava - [Maribor : T. Kos], 2019
    Jezik - angleški
    COBISS.SI-ID - 302222080

    Povezava(-e):

    Digitalna knjižnica Univerze v Mariboru – DKUM

Knjižnica/institucija Kraj Akronim Za izposojo Druga zaloga
Narodna in univerzitetna knjižnica, Ljubljana Ljubljana NUK v čitalnico 1 izv.
ni za izposojo 1 izv.
Univerzitetna knjižnica Maribor Maribor UKM v čitalnico 1 izv.
Miklošičeva knjižnica - FPNM, Maribor Maribor PEFMB pogojno za izposojo – na dom 1 izv.
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