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Wyświetlanie 1-6 z 6
Tytuł:
The Slater and Sub-k-Domination Number of a Graph with Applications to Domination and k-Domination
Autorzy:
Amos, David
Asplund, John
Brimkov, Boris
Davila, Randy
Powiązania:
https://bibliotekanauki.pl/articles/32083827.pdf
Data publikacji:
2020-02-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Slater number
domination number
sub- k -domination number
k -domination number
degree sequence index strategy
Opis:
In this paper we introduce and study a new graph invariant derived from the degree sequence of a graph G, called the sub-k-domination number and denoted subk(G). This invariant serves as a generalization of the Slater number; in particular, we show that subk(G) is a computationally efficient sharp lower bound on the k-domination number of G, and improves on several known lower bounds. We also characterize the sub-k-domination numbers of several families of graphs, provide structural results on sub-k-domination, and explore properties of graphs which are subk(G)-critical with respect to addition and deletion of vertices and edges.
Źródło:
Discussiones Mathematicae Graph Theory; 2020, 40, 1; 209-225
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Efficient (j,k)-domination
Autorzy:
Rubalcaba, Robert
Slater, Peter
Powiązania:
https://bibliotekanauki.pl/articles/743411.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
efficient domination
multiple domination
Opis:
A dominating set S of a graph G is called efficient if |N[v]∩ S| = 1 for every vertex v ∈ V(G). That is, a dominating set S is efficient if and only if every vertex is dominated exactly once. In this paper, we investigate efficient multiple domination. There are several types of multiple domination defined in the literature: k-tuple domination, {k}-domination, and k-domination. We investigate efficient versions of the first two as well as a new type of multiple domination.
Źródło:
Discussiones Mathematicae Graph Theory; 2007, 27, 3; 409-423
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hyperfine interactions in Ho(Fe1-xCox)2 compounds at 295 K
Autorzy:
Bednarski, M.
Stoch, P.
Bodnar, W.
Zachariasz, P.
Pszczoła, J.
Suwalski, J.
Powiązania:
https://bibliotekanauki.pl/articles/148624.pdf
Data publikacji:
2010
Wydawca:
Instytut Chemii i Techniki Jądrowej
Tematy:
intermetallics
crystal structure
Laves phase
Mössbauer effect
hyperfine interaction
Slater-Pauling dependence
Opis:
Synthesis of Ho(Fe1–xCox)2 intermetallic compounds, studies of their crystal structure and 57Fe Mössbauer effect analysis were carried out at 295 K. X-ray measurements evidence a pure cubic Fd3m, C15, MgCu2-type Laves phase. The unit cell parameter decreases non-linearly with composition parameter x. Mössbauer effect spectra for the Ho(Fe1–xCox)2 series were composed of a number of locally originated subspectra due to random Fe/Co nearest neighbourhoods. Hyperfine interaction parameters, i.e. isomer shift, the magnetic hyperfine field and a quadrupole interaction parameter were determined from the fitting procedure of the spectra, for both the individual nearest neighbourhoods, and for the sample as bulk. As a consequence of Fe/Co substitution a Slater-Pauling type curve for the average magnetic hyperfine field vs. x is observed. The correlation between the local magnetic hyperfine fields and the average magnetic hyperfine fields is related to weak and strong ferromagnetism of the transition metal sublattice.
Źródło:
Nukleonika; 2010, 55, 3; 279-284
0029-5922
1508-5791
Pojawia się w:
Nukleonika
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hyperfine interactions in Dy(Co0.4-xNixFe0.6)2 compounds at 295 K
Autorzy:
Zwoźniak, A.
Krawczyk, A.
Stoch, P.
Guzdek, P.
Zachariasz, P.
Suwalski, J.
Pszczoła, J.
Powiązania:
https://bibliotekanauki.pl/articles/148005.pdf
Data publikacji:
2013
Wydawca:
Instytut Chemii i Techniki Jądrowej
Tematy:
hyperfine interaction
intermetallics
Mössbauer effect
Slater-Pauling dependence
Opis:
57Fe Mössbauer effect studies were performed for the cubic C15, Fd3m, MgCu2-type Dy(Co0.4-xNixFe0.6)2 intermetallics. Hyperfine interaction parameters : isomer shift, magnetic hyperfine field and quadrupole interaction parameter were obtained from the fitting procedure of the collected 57Fe Mössbauer effect spectra. As a result of Co/Ni substitution, a Slater-Pauling type curve for the average magnetic hyperfine field vs. Ni content in the Dy(Co0.4-xNixFe0.6)2 series is observed.
Źródło:
Nukleonika; 2013, 58, 1; 179-181
0029-5922
1508-5791
Pojawia się w:
Nukleonika
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hyperfine interactions in Tb0.27Dy0.73(Fe1–xCox)2 compounds at 77 K
Autorzy:
Bodnar, W.
Szklarska-Łukasik, M.
Stoch, P.
Zachariasz, P.
Pszczoła, J.
Suwalski, J.
Powiązania:
https://bibliotekanauki.pl/articles/148142.pdf
Data publikacji:
2009
Wydawca:
Instytut Chemii i Techniki Jądrowej
Tematy:
intermetallics
crystal structure
Laves phase
Mössbauer effect
hyperfine interaction
Slater-Pauling dependence
Opis:
The synthesis of materials, crystal structure and 57Fe Mössbauer effect studies at 77 K were performed for intermetallics Tb0.27Dy0.73(Fe1–xCox)2. The starting compound Tb0.27Dy0.73Fe2 of this Fe/Co substituted series is known as Terfenol-D. XRD measurements evidence a pure cubic Laves phase C15, MgCu2-type. The determined unit cell parameter decreases across the series. Co substitution introduces a local area, in the subnanoscale, with random Fe/Co neighbourhoods of the 57Fe atoms. Mössbauer effect spectra for the Tb0.27Dy0.73(Fe1–xCox)2 series collected at 77 K consist of a number of locally originated subspectra due to random composition of Fe and Co atoms in the nearest neighbourhood. Hyperfine interaction parameters: isomer shift, magnetic hyperfine field and a quadrupole interaction parameter were obtained from the fitting procedure of the spectra, both for the local area and for the sample as bulk. As a result of Fe/Co substitution, a Slater-Pauling type curve for the average magnetic hyperfine field vs. Co content in the Tb0.27Dy0.73(Fe1–xCox)2 series is observed. It is found that the magnetic hyperfine fields corresponding to the local area sorted out against Co contribution in the Fe/Co neighbourhoods also create a dependence similar to the Slater-Pauling type curve.
Źródło:
Nukleonika; 2009, 54, 4; 227-232
0029-5922
1508-5791
Pojawia się w:
Nukleonika
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-6 z 6

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