Sentence examples for dominating set of from inspiring English sources
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.
In this paper we discuss the process of determining the distance-t dominating set of the extended star graph ES n, k).
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)).
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.
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.
We design the algorithms to determine the distance-t dominating sets of ES for lower integers such as t = 2, 3, 4, 5 and then using the above mentioned algorithms we design generalized algorithms to determine the distance-t dominating set of ES for all t where t> 2.
Finally, we discuss broadcasting in ad hoc network with realistic physical layer, and propose new concept of dominating sets to be used in broadcasting process.
The in-degree distribution (Fig. 12) is "inconsistent" with a scale free graph, as is the fact that slightly increasing the size of dominating sets to include 3, 4, and more nodes quickly increases their number.
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.
