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Search results for: SUPER DOMINATION NUMBER

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    TBC Celem Laboratorium Światła (z ang. GUT LightLab), jako placówki międzydyscyplinarnej, jest prowadzenie na wysokim poziomie badań podstawowych oraz badań stosowanych z pogranicza wielu dziedzin, w aspekcie odziaływania Światła, takich jak: Ochrona Środowiska, Medycyna, Zrównoważony Rozwój, Architektura Budowli, Architektura Dziedzictwa, Architektura Krajobrazu, Urbanistyka, Architektura Wnętrz, System znajdowania drogi (z ang....

  • Pracownia Fotogrametrii i Teledetekcji Niskiego Pułapu

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    W pracowni prowadzone są badania naukowe oraz zajęcia dydaktyczne z zakresu fotogrametrii cyfrowej i teledetekcji, szczególnie z niskiego pułapu czyli z bezzałogowych statków powietrznych. W ramach działań pracowni prowadzone są pomiary terenowe z użyciem nowoczesnych technik pomiarowych i bezzałogowych statków powietrznych, szkolenie lotnicze operatorów bezzałogowych statków powietrznych. Prace kameralne realizowane są na nowoczesnym...

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Search results for: SUPER DOMINATION NUMBER

  • On the super domination number of lexicographic product graphs

    Publication

    - DISCRETE APPLIED MATHEMATICS - Year 2019

    The neighbourhood of a vertexvof a graphGis the setN(v) of all verticesadjacent tovinG. ForD⊆V(G) we defineD=V(G)\D. A setD⊆V(G) is called a super dominating set if for every vertexu∈D, there existsv∈Dsuch thatN(v)∩D={u}. The super domination number ofGis theminimum cardinality among all super dominating sets inG. In this article weobtain closed formulas and tight bounds for the super dominating number oflexicographic product...

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  • On trees with double domination number equal to 2-domination number plus one

    A vertex of a graph is said to dominate itself and all of its neighbors. A subset D subseteq V(G) is a 2-dominating set of G if every vertex of V(G)D is dominated by at least two vertices of D, while it is a double dominating set of G if every vertex of G is dominated by at least two vertices of D. The 2-domination (double domination, respectively) number of a graph G is the minimum cardinality of a 2-dominating (double dominating,...

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  • On trees with double domination number equal to total domination number plus one

    Publication

    A total dominating set of a graph G is a set D of vertices of G such that every vertex of G has a neighbor in D. A vertex of a graph is said to dominate itself and all of its neighbors. A double dominating set of a graph G is a set D of vertices of G such that every vertex of G is dominated by at least two vertices of D. The total (double, respectively) domination number of a graph G is the minimum cardinality of a total (double,...

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  • Isolation Number versus Domination Number of Trees

    Publication
    • M. Lemańska
    • M. J. Souto-Salorio
    • A. Dapena
    • F. Vazquez-Araujo

    - Mathematics - Year 2021

    If G=(VG,EG) is a graph of order n, we call S⊆VG an isolating set if the graph induced by VG−NG[S] contains no edges. The minimum cardinality of an isolating set of G is called the isolation number of G, and it is denoted by ι(G). It is known that ι(G)≤n3 and the bound is sharp. A subset S⊆VG is called dominating in G if NG[S]=VG. The minimum cardinality of a dominating set of G is the domination number, and it is denoted by γ(G)....

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  • Paired domination versus domination and packing number in graphs

    Publication

    Given a graph G = (V(G), E(G)), the size of a minimum dominating set, minimum paired dominating set, and a minimum total dominating set of a graph G are denoted by γ (G), γpr(G), and γt(G), respectively. For a positive integer k, a k-packing in G is a set S ⊆ V(G) such that for every pair of distinct vertices u and v in S, the distance between u and v is at least k + 1. The k-packing number is the order of a largest kpacking and...

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