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On Independent Domination in Planar Cubic Graphs
A set S of vertices in a graph G is an independent dominating set of G if S is an independent set and every vertex not in S is adjacent to a vertex in S.
Abrishami Gholamreza +2 more
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Independent domination versus weighted independent domination [PDF]
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Lozin V. +3 more
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Independent Domination Subdivision in Graphs [PDF]
AbstractA set S of vertices in a graph G is a dominating set if every vertex not in S is ad jacent to a vertex in S. If, in addition, S is an independent set, then S is an independent dominating set. The independent domination number i(G) of G is the minimum cardinality of an independent dominating set in G.
Babikir, Ammar +3 more
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Independent domination in subcubic graphs [PDF]
Submitted to Discrete Applied Mathematics Journal, 08 Jan ...
Akbari, A. +5 more
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Stochastic Dominance under Independent Noise [PDF]
24 pages. Minor changes.
Pomatto, Luciano +2 more
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Domination, Independent Domination and $k$-independence in Trees
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Zhang, Gang, Wu, Baoyindureng
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Domination versus independent domination in regular graphs [PDF]
AbstractA set of vertices in a graph is a dominating set if every vertex of is in or is adjacent to a vertex in . If, in addition, is an independent set, then is an independent dominating set. The domination number of is the minimum cardinality of a dominating set in , while the independent domination number of is the minimum cardinality of ...
Martin Knor +2 more
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Further results on independent double roman trees
A double Roman dominating function (DRDF) on a graph [Formula: see text] is a function [Formula: see text] such that every vertex u with f(u) = 0 is adjacent to at least one vertex assigned a 3 or to at least two vertices assigned a 2, and every vertex v
A. Rahmouni +3 more
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Weighted Domination of Independent Sets [PDF]
The {\em independent domination number} $ ^i(G)$ of a graph $G$ is the maximum, over all independent sets $I$, of the minimal number of vertices needed to dominate $I$. It is known \cite{abz} that in chordal graphs $ ^i$ is equal to $ $, the ordinary domination number.
Aharoni, Ron, Gorelik, Irina
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Independent double Roman domination in graphs
For a graph G = (V,E), a double Roman dominating function has the property that for every vertex with f(v) = 0, either there exists a vertex , with f(u) = 3, or at least two neighbors having f(x) = f(y) = 2, and every vertex with value 1 under f has at ...
H. R. Maimani +3 more
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