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Search results for: TOTAL OUTER-INDEPENDENT DOMINATION

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Search results for: TOTAL OUTER-INDEPENDENT DOMINATION

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Search results for: TOTAL OUTER-INDEPENDENT DOMINATION

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    * badania tarcia i zużycia materiałów tribologicznych * badania eksperymentalne układów łożyskowych (tocznych i ślizgowych) smarowanych olejem, wodą, zanieczyszczonymi smarami lub smarami smarowanymi * teoretyczne badania wykorzystania modeli zweryfikowanych eksperymentalnie (w tym MES, CFD i FSI) * eksperymentalne badania wytrzymałości zmęczeniowej (łożyska ślizgowe cienkowarstwowe) * projektowanie nowych i modernizacja istniejących...

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Search results for: TOTAL OUTER-INDEPENDENT DOMINATION

  • On trees with equal domination and total outer-independent domination numbers

    Publication

    For a graph G=(V,E), a subset D subseteq V(G) is a dominating set if every vertex of V(G)D has a neighbor in D, while it is a total outer-independent dominating set if every vertex of G has a neighbor in D, and the set V(G)D is independent. The domination (total outer-independent domination, respectively) number of G is the minimum cardinality of a dominating (total outer-independent dominating, respectively) set of G. We characterize...

  • An upper bound on the total outer-independent domination number of a tree

    Publication

    A total outer-independent dominating set of a graph G=(V(G),E(G)) is a set D of vertices of G such that every vertex of G has a neighbor in D, and the set V(G)D is independent. The total outer-independent domination number of a graph G, denoted by gamma_t^{oi}(G), is the minimum cardinality of a total outer-independent dominating set of G. We prove that for every tree T of order n >= 4, with l leaves and s support vertices we have...

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  • A lower bound on the total outer-independent domination number of a tree

    Publication

    A total outer-independent 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, and the set V(G)D is independent. The total outer-independent domination number of a graph G, denoted by gamma_t^{oi}(G), is the minimum cardinality of a total outer-independent dominating set of G. We prove that for every nontrivial tree T of order n with l leaves we have gamma_t^{oi}(T) >= (2n-2l+2)/3,...

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  • On the ratio between 2-domination and total outer-independent domination numbers of trees

    A 2-dominating set of a graph G is a set D of vertices of G such that every vertex of V(G)D has a at least two neighbors in D. A total outer-independent 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, and the set V(G)D is independent. The 2-domination (total outer-independent domination, respectively) number of a graph G is the minimum cardinality of a 2-dominating (total...

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  • 2-outer-independent domination in graphs

    Publication

    We initiate the study of 2-outer-independent domination in graphs. A 2-outer-independent dominating set of a graph G is a set D of vertices of G such that every vertex of V(G)\D has at least two neighbors in D, and the set V(G)\D is independent. The 2-outer-independent domination number of a graph G is the minimum cardinality of a 2-outer-independent dominating set of G. We show that if a graph has minimum degree at least two,...

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