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Non-Abrupt Vegetation Changes due to Altered Nutrient Balance Make Complex Scale-Dependent Warming and Cooling Effects. [PDF]
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RAIRO - Theoretical Informatics and Applications, 2020
An edge e ev-dominates a vertex v which is a vertex of e, as well as every vertex adjacent to v. A subset D ⊆ E is an edge-vertex dominating set (in simply, ev-dominating set) of G, if every vertex of a graph G is ev-dominated by at least one edge of D.
Sahin, Abdulgani, Sahin, Bunyamin
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An edge e ev-dominates a vertex v which is a vertex of e, as well as every vertex adjacent to v. A subset D ⊆ E is an edge-vertex dominating set (in simply, ev-dominating set) of G, if every vertex of a graph G is ev-dominated by at least one edge of D.
Sahin, Abdulgani, Sahin, Bunyamin
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Quaestiones Mathematicae, 2015
A set S of vertices is a total dominating set of a graph G if every vertex of G is adjacent to some vertex in S. The minimum cardinality of a total dominating set is the total domination number γt(G). A Roman dominating function on a graph G is a function ƒ : V (G) → {0, 1, 2} satisfying the condition that every vertex u with ƒ(u) = 0 is adjacent to at
Chellali, Mustapha +2 more
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A set S of vertices is a total dominating set of a graph G if every vertex of G is adjacent to some vertex in S. The minimum cardinality of a total dominating set is the total domination number γt(G). A Roman dominating function on a graph G is a function ƒ : V (G) → {0, 1, 2} satisfying the condition that every vertex u with ƒ(u) = 0 is adjacent to at
Chellali, Mustapha +2 more
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2021
Total domination is the second most studied topic in domination theory, and thus the total domination game is a natural variation of the domination game. It was introduced and first studied in 2015 by Henning, Klavžar, and Rall. There are, of course, some similarities between these two kinds of domination games, but it was shown in this introductory ...
Boštjan Brešar +3 more
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Total domination is the second most studied topic in domination theory, and thus the total domination game is a natural variation of the domination game. It was introduced and first studied in 2015 by Henning, Klavžar, and Rall. There are, of course, some similarities between these two kinds of domination games, but it was shown in this introductory ...
Boštjan Brešar +3 more
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Total Dominator Colorings and Total Domination in Graphs
Graphs and Combinatorics, 2014Given a graph \(G\), a total dominator coloring is a proper coloring of the vertices of \(G\) in which each vertex is adjacent to every vertex of some color class. The total dominator chromatic number \(\chi_{d}^{t}(G)\) of \(G\) is the minimum number of colors among all total dominator colorings of \(G\). A total dominating set of \(G\) is a set \(S\)
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Total Domination Edge Critical Graphs with Total Domination Number Three and Many Dominating Pairs
Graphs and Combinatorics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Balbuena, Camino +3 more
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Domination and Total Domination in Hypergraphs
2020A dominating set in a hypergraph H with vertex set V (H) and E(H) is a subset of vertices D ⊆ V (H) such that for every vertex v ∈ V (H) ∖ D, there exists an edge e ∈ E(H) for which v ∈ e and e ∩ D≠∅. A total dominating set in H is a dominating set D of H with the additional property that for every vertex v in D, there exists an edge e ∈ E(H) for which
Henning, Michael A., Yeo, Anders
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