The phrase "a dominating set of" is correct and usable in written English.
It is typically used in mathematical contexts, particularly in graph theory, to refer to a subset of vertices in a graph that can influence or control other vertices.
Example: "In this graph, we need to identify a dominating set of vertices that can cover all other vertices."
Alternatives: "a controlling set of" or "a governing set of".
Now, since ({rm Max}(A)) is a dominating set of ({mathbb {G}}(A)), the result holds.
Hence ({rm Max}(A)) is a dominating set of ({mathbb {G}}(A)).
A set D ⊆ V ( G ) Open image in new window is a total dominating set (TDS) of a graph G if each vertex of G has a neighbor in D. Equivalently, a set D ⊆ V ( G ) Open image in new window is a TDS of a graph G if D is a dominating set of G and 〈D〉 does not contain an isolate vertex.
The minimum capacitated dominating set (CAPMDS) problem is the problem of finding a dominating set of minimum cardinality with the additional constraint that the nodes dominated do not exceed the capacity of the respective dominating nodes.
This algorithm is obtained by constructing a dominating set of the graph greedily, enumerating all possible 3-colorings of the dominating set, and then solving the resulting 2-list coloring instances in polynomial time.
If set U is a dominating set of G and G[U] is connected, then U is called a connected dominating set (CDS) of G.
In a graph G, a vertex subset S⊆V G) is said to be a dominating set of G if every vertex not in S is adjacent to a vertex in S. A dominating set S of a graph G is called a paired-dominating set if the induced subgraph G[S] contains a perfect matching.
Let G="(V,E) be a graph with vertex set V and edge set E. A subset F⊆E is an edge total dominating set if every edge e∈E is adjacent to at least one edge in F. The edge total domination problem is to find a minimum edge total dominating set of G.
The second, clearly dominating set of features is a number of high-intensity Bragg spots along q p = 10.3, 15.4, and 20.6 nm–1.
In [7], Wan et al. proposed an ID-based distributed algorithm to construct a CDS with the performance ratio 8|opt|−2, where opt represents the minimum connected dominating set of the unit disk graph.
In this paper we discuss the process of determining the distance-t dominating set of the extended star graph ES n, k).
